Solve 5^{x}=\frac{2}{3}

Home Mathsolver

Type a math problem or upload a photo, screenshot, handwritten question...

error msg

5^{x}=\frac{2}{3}

Solve the equation

x=\log_{5}{\left(2\right)}-\log_{5}{\left(3\right)}

Alternative Form

x\approx -0.25193

Evaluate

5^{x}=\frac{2}{3}

Take the logarithm of both sides

\log_{5}{\left(5^{x}\right)}=\log_{5}{\left(\frac{2}{3}\right)}

Evaluate the logarithm

x=\log_{5}{\left(\frac{2}{3}\right)}

Solution

x=\log_{5}{\left(2\right)}-\log_{5}{\left(3\right)}

Alternative Form

x\approx -0.25193

Show Solutions

Hide Solutions

Graph