Answer:
0.08
Step-by-step explanation:
Please use parentheses to indicate which operations must be done first. I 'm choosing to believe that you meant 7^(3x-1) and 5^(x-1).
Taking the common log of both sides, we get:
(3x-1)log 7 = (x-1)log 5
Then 3x·log 7 - log 7 = x log 5 - log 5
Grouping the x terms:
x(3·log 7 - log 5) = log 7 - log 5. We combine log 7 and log 5, obtaining log (7/5).
Then x(3·log 7 - log 5) = log (7/5).
Solving for x:
log (7/5)
x = ---------------------
3·log 7 - log 5
0.1461
x = ------------- = 0.08
1.0363
This agrees with the 3rd answer choice.
