Question

Can you help me please ​

Answer 1

Answer:

$log_372 = 3.8928$

Step-by-step explanation:

Given

$log_38 = 1.8928$

Required

Evaluate $log_372$

We have:

$log_372 = log_3(8 *9)$

Apply law of logarithm

$log_372 = log_38 +log_39$

Express 9 as 3^2

$log_372 = log_38 +log_33^2$

Evaluate the exponents

$log_372 = log_38 +2log_33$

$log_33 = 1$.

So:

$log_372 = log_38 + 2 * 1$

$log_372 = log_38 + 2$

Substitute $log_38 = 1.8928$

$log_372 = 1.8928 + 2$

$log_372 = 3.8928$