Solve for x and express your answer as a logarithm.

2(10^(3x) ) = 24

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)

Question

Solve for x and express your answer as a logarithm.


2(10^(3x) ) = 24


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)

dparrac123 · Answer

@ganeshie8

welshfella · Answer

2 (10^3x) = 24
divide by 2
10^3x = 12
take logs
log 10^3x = log12

zzr0ck3r · Answer

$2(10^{3x} ) = 24\implies 10^{3x}=12\implies \log(10^{3x})=\log(12)$

Use $\log_a(a^b)=b$

zzr0ck3r · Answer

Dumb phone...Can't see when people are typing  ;(