Math  Logarithmic
posted by Anonymous on .
Solve:
2^(5x6) = 7
My work:
log^(5x6) = log7
5x  6(log2) = log7
5x = log7 + 6(log2)
x = (log7 + log2^6) / 5
And textbook answer:
(log7) / (log2)
What did I do wrong?

you are wrong and the textbook answer, the way you stated is, is wrong.
2^(5x6) = 7
log[2^(5x6)] = log7
(5x6)log2 = log7
5x6 = log7/log2
5x = log7/log2 + 6
x = (log7/log2 + 6)/5 
Without using a calculator, find the value of the following logarithmic expression.
log7 1