Question

Solve for x and express your answer as a logarithm.

3(5x) = 48


Simplify your answer as much as possible.


Use the following notations where necessary:

For fractions, use the / symbol to separate numerator and denominator, like this: 42/53

For logs with a base of 10, such as log107, just write the log without the base and place the value in parentheses, like this: log(7)

For logs with a base other than 10, write the base after an underscore then place the value in parentheses. For example, to write log27, write it like this: log_2(7)

Answer 1

Hello,

3^(5x)=48
==>5x ln(3)=ln(48)
==>x=1/5 * ln(48)/ln(3)
==>x=0,70474380....