3^(x+1)=27

kokomocutie88r1

kokomocutie88r1

Answered question

2022-07-31

3 x + 1 = 27

Answer & Explanation

Coleman Ali

Coleman Ali

Beginner2022-08-01Added 13 answers

Two ways to do this:
1) Take the ln of both sides and solve.
ln 3 x + 1 = ln 27
( x + 1 ) ln 3 = ln 27
x + 1 = ln 27 / ln 3
x+1=3
x=2
2) Take log 3 of both sides and solve.
log 3 3 x + 1 = log 3 27
x+1=3
x=2.
Ashlyn Krause

Ashlyn Krause

Beginner2022-08-02Added 4 answers

For this question, let's first get rid of the exponent by taking the natural log of both sides of the equation to get:
[ x + 1 ] [ ln ( 3 ) ] = ln ( 27 )
Now, we need to divide both sides of the equation by ln ( 3 ) toget:
x + 1 = ln ( 27 ) ln ( 3 )
Next, we have to isolate for x alone by subtracting 1 from bothsides of the equation to finally get:
x = ln ( 27 ) ln ( 3 ) 1 FINAL ANSWER

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