Question

what is 5e^4x=535

Answer 1

divide both sides of the equation by 5

then take the ln of both sides of the equation...

then the last step is to divide both sides by 4

hope it helps

Answer 2

Thanks but is actually is a..solve the exponential equation by taking the logarithms on both sides...

Answer 3

ok... so dividing by 5 and you get

\[e^{4x} = 107\]

take the log of both sides

\[\ln(e^{4x}) = \ln(107)\]

applying the log laws for powers

\[4x \ln(e) = \ln(107)\]

and when the base of the log and base of the exponent are the same you get 1

\[\log_{a}(a) = 1\]

so you have

4x = ln(107)

now solve for x