# Solve the logarithmic equation: log2 x = -1

Urijah Estes 2022-07-27 Answered
Solve the logarithmic equation:
log2 x = -1
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

lelapem
${\mathrm{log}}_{x}=-1\text{given}\phantom{\rule{0ex}{0ex}}\frac{\mathrm{log}x}{\mathrm{log}2}=-1\text{the change of base formulae}\phantom{\rule{0ex}{0ex}}\mathrm{log}x=-log2\text{multiplied both sides by log2}\phantom{\rule{0ex}{0ex}}{10}^{\mathrm{log}x}={10}^{-\mathrm{log}2}\text{made both sides to the base of 10}\phantom{\rule{0ex}{0ex}}{10}^{\mathrm{log}x}={10}^{\mathrm{log}{2}^{-1}}\text{used the rules of log and placed the -1 inthe exponent}\phantom{\rule{0ex}{0ex}}{10}^{\mathrm{log}x}={10}^{\mathrm{log}\frac{1}{2}}\text{used rules of exponents and changed thenegative exponents to a fraction}\phantom{\rule{0ex}{0ex}}x=\frac{1}{2}\text{the base ten and logarithmic functioncancel and the answer is 1/2}$
###### Not exactly what you’re looking for?
stratsticks57jl

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee