Question

The two expressions below have the same value when rounded to the nearest hundredth. Log Subscript 5 Baseline b. Log Subscript 9 Baseline 48 What is the approximate value of log b to the nearest hundredth? 0. 93 1. 23 9. 16 65. 53.

Answer 1

The approximate value of log b to the nearest hundredth using the logarithm property is 1.23. The correct option is B.

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The two expressions below have the same value when rounded to the nearest hundredth.

$\rm Log_ 5 b \ \ and \ \ Log _ 9 48$

We know that the formula

$\rm log_ab = \dfrac{log\ b}{log\ a}$

Then we have

$\rm log_ 5\ b = log _ 9 48\\\\\\ \dfrac{log \ b}{log\ 5} = \dfrac{log\ 48}{log \ 9}\\\\\\log \ b = log \ 5 * \dfrac{log\ 48}{log \ 9}\\\\\\log \ b = 1.2315$

Thus, the value of log b is 1.23.

More about the logarithm link is given below.

brainly.com/question/7302008