Question

Find the solution of the exponential equation, correct to four decimal places.

3(1 + 10^8x) = 5

Answer 1

\(\Large\color{black}{ 3(1 + 10^{8x}) = 5 }\)

\(\Large\color{black}{ (1 + 10^{8x}) = \frac{5}{3} }\)

\(\Large\color{black}{ 10^{8x} = 1+\frac{5}{3} }\)

\(\Large\color{black}{ 10^{8x} = 1+1\frac{2}{3} }\)

\(\Large\color{black}{ 10^{8x} = 2\frac{2}{3} }\) so far so good ?

Answer 2

Yes

Answer 3

Use the above relation to make your equation with log.
\(\Large\color{black}{ A^B=C~~~~~~->~~~~~~~~A^C=B }\)

You can do it...

Answer 4

0.0532?

Answer 5

jk thats not right