Question

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

Answer 1

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