Solve the equation. 32^{x+5}=4^{3x-1}

BenoguigoliB

BenoguigoliB

Answered question

2021-10-02

Solve the equation.
32x+5=43x1

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-10-03Added 88 answers

Step 1
The formula provided is 32x+5=43x1.
Step 2
Simplify the equation 32x+5=43x1 as follows.
32x+5=43x1
(25)x+5=(22)3x1
25(x+5)=22(3x1)   [(ab)c=abc]
5(x+5)=2(3x1)   [af(x)=ag(x)f(x)=g(x)]
Step 3
For additional simplifications,
5x+25=6x2
25+2=6x5x
x=27
Step 4
Answer:
The solution of the equation is 32(x+5)=4(3x1) is 27.

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