Question

If log 9 = 0.9542, find the value of log 27.

Answer 1

log 9 = 0.9542

We need to find the value of log 27.

Step 1: Express 27 in terms of 9:

We know:

`27 = 9^(3/2)`

Thus, we can express log 27 as:

`log 27 = log(9^(3/2))`

Step 2: Apply the logarithmic power rule:

Using the property log a^b = b log a, we get:

`log 27 = 3/2 log 9`

Step 3: Substitute the given value of log 9:

We are given log 9 = 0.9542, so:

`log 27 = 3/2 xx 0.9542`

log 27 = 1.4313