Question

Solve each equation for x. If your answer is a decimal, found your the nearest hundredth.

Answer 1

Given:

Equation is

`3^(x+3)+4=85`

Required:

Solve equation for x.

Explanation:

We will use here

`\begin{gathered} a^b=a^c \\ b=c \end{gathered}`

Now,

`\begin{gathered} 3^(x+3)+4=85 \\ 3^(x+3)=81 \\ 3^x=27 \\ 3^x=3^3 \\ x=3 \end{gathered}`

Answer:

Hence, the value of x = 3.