Question

Solve the following equation. log Subscript 2 Baseline (3 x plus 7 )equals 5 The solution set is StartSet nothing EndSet . ​(Simplify your​ answer.)

Answer 1

Answer:
`x=(25)/(3)`

Explanation:

The given equation :
`\log_2(3x+7)=5`

Using logarithmic property :
`\log_a N=M\to N=a^M`

The given equation will be equivalent to
`(3x+7)=2^5`

`\Rightarrow\ 3x+7=32`

Subtract 7 from both sides , we get

`3x=25`

Divide both sides by 3 , we get

`x=(25)/(3)`

Hence, the solution is
`x=(25)/(3)`