Question

how would you solve this exponential equation (1/2)^1/30 =.9

Answer 1

hmm this is not an equation to solve because there is no variable. maybe a typo?

Answer 2

oh yeah sorry, its t/30 not 1/30

Answer 3

ok we go right to the answer, ( just about)
remember that to solve
\[b^t=A\] for t write
\[t=\frac{\ln(A)}{\ln(b)}\] so in this case you have
\[\frac{t}{30}=\frac{\ln(.9)}{\ln(.5)}\]

Answer 4

to get t you put
\[t=\frac{30\ln(.9)}{\ln(.5)}\]

Answer 5

then a calculator