Question

3 ln x = ln 16 + ln 4. Solve for x.

Please walk me through which log rule to use once you get to the point:
ln x = (ln 16 + ln 4)/3

Answer 1

Explanation:

See the picture for steps

Answer 2

4

Explanation:

`ln(x) = ln(16) + ln(4)`

Use the Produxt Rule

`ln(a) + ln(b) = ln(a + b)`

Remeber that Ln is a log function with base e,

so know we have

`3 ln(x) = ln(64)`

`ln(a) = ln(b)`

Only if a=b So we have

x^3=64

x=4

`x = 64`