Question

The two expressions below have the same value when rounding to the nearest hundredth. Log5 b log9 48 What is the approximate value of logb to the nearest hundredth? 0.93 1.23 9.16 65.53

Answer 1

Answer:

B is correct :)

Step-by-step explanation:

Answer 2

Answer:

1.23

Step-by-step explanation:

$\text{Given that the expressions }\log_5b \text{ and }\log_9 48\text{ have the same value}\\\text{when rounding to the nearest hundredth. So these expression are equal. }\\\\\Rightarrow \log_5 b=\log_9 48\\\\\text{now using the change of base formula, we know that }\log_b x=\frac{\log x}{\log b}\\\text{so using the change of base formula, we get}$

$\frac{\log b}{\log 5}=\frac{\log 48}{\log 9}\\\\\text{now to solve for log b, we multiply both sides by log 5, so we get}\\\\\log b=\frac{\log 48}{\log 9}*\log 5\\\\\Rightarrow \log b \approx 1.23$