Solve for y (2.25)^y=10

Math
(2.25)y=10
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln((2.25)y)=ln(10)
Expand ln((2.25)y) by moving y outside the logarithm.
yln(2.25)=ln(10)
Divide each term by ln(2.25) and simplify.
Tap for more steps…
Divide each term in yln(2.25)=ln(10) by ln(2.25).
yln(2.25)ln(2.25)=ln(10)ln(2.25)
Cancel the common factor of ln(2.25).
Tap for more steps…
Cancel the common factor.
yln(2.25)ln(2.25)=ln(10)ln(2.25)
Divide y by 1.
y=ln(10)ln(2.25)
y=ln(10)ln(2.25)
y=ln(10)ln(2.25)
The result can be shown in multiple forms.
Exact Form:
y=ln(10)ln(2.25)
Decimal Form:
y=2.83943679…
Solve for y (2.25)^y=10

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

Solve all your Math Problems: https://elanyachtselection.com/

We can solve all your math problems
Scroll to top