ln(5x)=4ln(5x)=4
To solve for xx
, rewrite the equation using properties of logarithms.eln(5x)=e4el
Solve for x
Tap for more steps...Exponentiation and log are inverse functions.5x=e4
Divide each term by 5
and simplify.Tap for more steps...Divide each term in 5x=e45x=e4
by 5
.Reduce the expression by cancelling the common factors.
Cancel the common factor.5x5=e45
Divide x
by 1
to get x
.x=e45x=e45
Verify each of the solutions by substituting them back into the original equation ln(5x)=4
and solving. In this case, all solutions were found to be valid.x=e45x=e45
The result can be shown in both exact and decimal forms.Exact Form:x=e45x=e45
Decimal Form:x=10.91963000…