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,,,, to MayuriPatal: This is a CONCRETE question with the solution in one minute! ,,,Not 10 minutes of this STUPID video!,,,,,, Question: 4^x =30 ,,,,, I use the base =4 ,,,,,,, log4(4^x) = log4(30) ,,,,,, x* log4(4) = log4(30) ,,,: x*1= log4(30) ,,,, the solution : x= log4(30) ,,,,,,,,,,,, VERIFICATION: 4^x =30 True or False?? ,,,,, 4^log4(30) = ??? ,,,,, a^(loga(b) =b with a=4, b=30 so on the left we have: b=30 so we have verified that Left =Right =30 ,,,, We can explain (=check) ONLY ONE FORMULA, not the whole chapter of logarithms!,,,,,a^(loga(b) =b ,,, I use the base= a ,,,,, loga(b) * loga(a)= loga(b) ,,,, loga(b) * 1= loga(b) ,,,,,,,,,, loga(b) = loga(b) left =right so this formula is good.
The SERIOUS problem is that Sanford University is no longer a model of excellence with this type of heavy and LONG solution…. Another problem is that the first two Internet users who correct, they are limited on the only natural logarithm ln…. The first two INTELLIGENT Internet users do not know how to VERIFY their results so I give my quick solution WITH THE VERIFICATION… Question: 4^x =30 ,,,,, I use the base =4 ,,,,,,, log4(4^x) = log4(30) ,,,,,, x* log4(4) = log4(30) ,,, the solution: x= log4(30) ,,,,,,VERIFICATION: 4^x =30 True or False?? ,,,,, 4^log4(30) = ??? ,,,,, a^(loga(b) =b with a=4, b=30 so on the left we have: b=30 so we have verified that Left =Right =30 …. Smile =The French SOURIRE =Polish USMIECH.
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Peeps should stop showing off and let the man explain step by step for clarity. Not skipping steps is importnat for students to avoid carrying errors through to the end. It’s how students are taught - to write out line by line. Thanks.
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,,,, to MayuriPatal: This is a CONCRETE question with the solution in one minute! ,,,Not 10 minutes of this STUPID video!,,,,,, Question: 4^x =30 ,,,,, I use the base =4 ,,,,,,, log4(4^x) = log4(30) ,,,,,, x* log4(4) = log4(30) ,,,: x*1= log4(30) ,,,, the solution : x= log4(30) ,,,,,,,,,,,, VERIFICATION: 4^x =30 True or False?? ,,,,, 4^log4(30) = ??? ,,,,, a^(loga(b) =b with a=4, b=30 so on the left we have: b=30 so we have verified that Left =Right =30 ,,,, We can explain (=check) ONLY ONE FORMULA, not the whole chapter of logarithms!,,,,,a^(loga(b) =b ,,, I use the base= a ,,,,, loga(b) * loga(a)= loga(b) ,,,, loga(b) * 1= loga(b) ,,,,,,,,,, loga(b) = loga(b) left =right so this formula is good.
There's so much easier you can just use the exponential and the logarithmic which is faster
e^x.ln.4= e^ln30
x.ln.4=ln30
x= ln30÷ln4
ok thanks dear
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This solution is overly complicated. Following simple logarithmic properties makes this a three line problem
ok dear, thanks
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4ⁿ=30
2²ⁿ=2•3•5
2^(2n-1)=3•5
2n-1=log_2(3•5)
2n-1=log_2(3)+log_2(5)
2n=1+log_2(3)+log_2(5)
n=½+½log_2(3)+½log_2(5) ❤
thanks dear
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Спасибо за науку
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welcome dear
,,,, to MayuriPatal: This is a CONCRETE question with the solution in one minute! ,,,Not 10 minutes of this STUPID video!,,,,,, Question: 4^x =30 ,,,,, I use the base =4 ,,,,,,, log4(4^x) = log4(30) ,,,,,, x* log4(4) = log4(30) ,,,: x*1= log4(30) ,,,, the solution : x= log4(30) ,,,,,,,,,,,, VERIFICATION: 4^x =30 True or False?? ,,,,, 4^log4(30) = ??? ,,,,, a^(loga(b) =b with a=4, b=30 so on the left we have: b=30 so we have verified that Left =Right =30 ,,,, We can explain (=check) ONLY ONE FORMULA, not the whole chapter of logarithms!,,,,,a^(loga(b) =b ,,, I use the base= a ,,,,, loga(b) * loga(a)= loga(b) ,,,, loga(b) * 1= loga(b) ,,,,,,,,,, loga(b) = loga(b) left =right so this formula is good.
The SERIOUS problem is that Sanford University is no longer a model of excellence with this type of heavy and LONG solution…. Another problem is that the first two Internet users who correct, they are limited on the only natural logarithm ln…. The first two INTELLIGENT Internet users do not know how to VERIFY their results so I give my quick solution WITH THE VERIFICATION… Question: 4^x =30 ,,,,, I use the base =4 ,,,,,,, log4(4^x) = log4(30) ,,,,,, x* log4(4) = log4(30) ,,, the solution: x= log4(30) ,,,,,,VERIFICATION: 4^x =30 True or False?? ,,,,, 4^log4(30) = ??? ,,,,, a^(loga(b) =b with a=4, b=30 so on the left we have: b=30 so we have verified that Left =Right =30 …. Smile =The French SOURIRE =Polish USMIECH.
explanation is necessary dear to understand better
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Formidável.
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thank you so much dear
Peeps should stop showing off and let the man explain step by step for clarity. Not skipping steps is importnat for students to avoid carrying errors through to the end. It’s how students are taught - to write out line by line. Thanks.
thanks dear
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,,,, to MayuriPatal: This is a CONCRETE question with the solution in one minute! ,,,Not 10 minutes of this STUPID video!,,,,,, Question: 4^x =30 ,,,,, I use the base =4 ,,,,,,, log4(4^x) = log4(30) ,,,,,, x* log4(4) = log4(30) ,,,: x*1= log4(30) ,,,, the solution : x= log4(30) ,,,,,,,,,,,, VERIFICATION: 4^x =30 True or False?? ,,,,, 4^log4(30) = ??? ,,,,, a^(loga(b) =b with a=4, b=30 so on the left we have: b=30 so we have verified that Left =Right =30 ,,,, We can explain (=check) ONLY ONE FORMULA, not the whole chapter of logarithms!,,,,,a^(loga(b) =b ,,, I use the base= a ,,,,, loga(b) * loga(a)= loga(b) ,,,, loga(b) * 1= loga(b) ,,,,,,,,,, loga(b) = loga(b) left =right so this formula is good.