SOLUTION: Solve for x to three significant digits. 3 Superscript 6x Baseline equals 5 Superscript 7x-6

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Solve for x to three significant digits. 3 Superscript 6x Baseline equals 5 Superscript 7x-6      Log On


   

Question 1087107: Solve for x to three significant digits.
3 Superscript 6x Baseline equals 5 Superscript 7x-6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
+3%5E%286x%29=5%5E%287x-6%29+
Take the natural log of both sides,
6x%2Aln%283%29=%287x-6%29%2Aln%285%29
7ln%285%29%2Ax-6ln%283%29%2Ax=6ln%285%29
x%287ln%285%29-6ln%283%29%29=6ln%285%29
highlight%28x=%286ln%285%29%29%2F%287ln%285%29-6ln%283%29%29%29