Question

please help!! 1.5^lnx=10^0.5 find the solution and round to the nearest thousandth

Answer 1

ln(x)log(1.5)=.5log10

Answer 2

Divide both sides by log1.5

Answer 3

e raised to that power will be x

Answer 4

1.5^lnx=10^0.5 take natural log on both sides gives
lnx ln1.5=0.5ln10
ln x=(0.5ln 10)/ln1.5=2.839
e^lnx=e^2.839
x=17.106

Answer 5

Thanks!!!!!

Answer 6

\[\ln x \log_{10}1.5=.5\log_{10}10 \]

Answer 7

\[\ln x=\frac{.5}{\log_{10}1.5} \]

Answer 8

\[\ln x=2.8394\]

Answer 9

\[e ^{2.8394}=x=17.106\]

Answer 10

thank you also