Question

8e^3x+9=13 round to the nearest tenth? its logarithims -_-....

Answer 1

\[8e^{3x}=4\]

Answer 2

\[e^{3x}=\frac{1}{2}\]

Answer 3

oops i meant thousandths.... and it has to be in decimal form.

Answer 4

now what can you do to get the e to cancel

Answer 5

divide it by itself??

Answer 6

\[\ln(e^x)=x\]

Answer 7

that is basically all you need to remember whe you want to get rid of an e raised to variable

Answer 8

so if you multiply both sides by ln

Answer 9

\[\ln(e^{3x})=\ln(\frac{1}{2})\]
\[3x=\ln(\frac{1}{2})\]

Answer 10

\[\ln(\frac{a}{b})=\ln(a)-\ln(b) \] this is the next rule you'll need

Answer 11

\[3x=\ln(1)-\ln(2)\]
\[x=\frac{\ln(1)}{3}-\frac{\ln(2)}{3}\]

Answer 12

\[x=\frac{\ln(1)-\ln(2)}{3}\]

Answer 13

-0.231?

Answer 14

if thats what you got then yes