Question

Can you help me please ​

Answer 1

`log_372 = 3.8928`

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`