Should have gone straight to using the log of base 2/5 to minimize the number of steps in solving the exponential equation. Applying the appropriate log base to the exponential equation allows using whatever is in the exponent on one side of the equation to be the only thing on that side of the equation.
Only that log(2/5) can be written in the denominator as log2-log5, but that’s as much as it can be simplified. The expression in the numerator is inside the log function in its simplest form so it can’t be changed.
Should have gone straight to using the log of base 2/5 to minimize the number of steps in solving the exponential equation. Applying the appropriate log base to the exponential equation allows using whatever is in the exponent on one side of the equation to be the only thing on that side of the equation.
Can’t the answer be simplified?
Only that log(2/5) can be written in the denominator as log2-log5, but that’s as much as it can be simplified. The expression in the numerator is inside the log function in its simplest form so it can’t be changed.