Evaluate log3/8 91 using the change of base formula. Round your answer to one decimal place.

Nesan Mano asked Dec 6, 2023

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Nesan Mano asked Dec 6, 2023

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21 votes

We have to apply the change of base formula:

$\log _b(a)=(\log _x(a))/(\log _x(b))$

We can apply this to our expression as:

$\log _{(3)/(8)}(91)=(\ln(91))/(\ln((3)/(8)))=(\ln (91))/(\ln (3)-\ln (8))\approx(4.511)/(1.099-2.079)=(4.511)/(-0.980)\approx-4.6$

Answer: -4.6

Alex Warren answered Dec 12, 2023

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