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: $x=\dfrac{25}{3}$

Step-by-step 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

$x=\dfrac{25}{3}$

Hence, the solution is $x=\dfrac{25}{3}$