Can someone tell me how they got the answer.

Problem: 9^(x+6)=7x

My answer was: -52.458
The correct answer is: -51.138

I have checked my input on my calculator, and cannot figure it out.

2 answers

Sorry, my problem is:
9^(x+6)=7^x
-52.4576 is the correct answer.

ln9^(x+6)=ln7^x
(x+6)*ln(9)=x*ln(7)
(x+6)/x=ln(7)/ln(9)
x/x+6/x=.885622
1+6/x=.885622
6/x=.885622-1
6/x=-.114378
x=6/(-.114378)
x=-52.4576
Similar Questions
    1. answers icon 1 answer
  1. Can someone correct these for me..plz...Problem #1 simplify. ((p^5)^4)/(p^6) MY answer: p^14 Problem #2 Write using positive
    1. answers icon 0 answers
  2. ProblemDesign an experiment that uses color to modify human behavior. I. Understand the Problem (a) Discuss how the graph of
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions