Question

Solve for x. Evaluate and round your answer to 1 decimal place (tenths place). 10x=3588

Answer 1

x =3.6

Explanation:

`10^x=3588\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(10^x\right)=\ln \left(3588\right)\\x\ln \left(10\right)=\ln \left(3588\right)\\\mathrm{Solve\:}\:x\ln \left(10\right)=\ln \left(3588\right):\quad x=(\ln \left(3588\right))/(\ln \left(10\right))\\\\= 3.55485\\=3.6`