Solve for x (1/5)^x=10

Math
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Expand the left side.
Tap for more steps…
Expand by moving outside the logarithm.
Rewrite as .
The natural logarithm of is .
Subtract from .
Simplify .
Tap for more steps…
Move to the left of .
Rewrite as .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Simplify .
Tap for more steps…
Dividing two negative values results in a positive value.
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x (1/5)^x=10

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top