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Popular >

Solve for x 5^x=9

Solution

solve for

x, 5^{x} = 9

Solution

x = \frac{2 ln ( 3 )}{ln ( 5 )}

+1

Solution steps

5^{x} = 9

Apply exponent rules

x ln (5) = ln (9)

Solve

x ln (5) = ln (9) : x = \frac{2 ln ( 3 )}{ln ( 5 )}

x = \frac{2 ln ( 3 )}{ln ( 5 )}

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Solve Using the Quadratic Formula x^2-5x-1=0 quadratic formula

x^{2} - 5 x - 1 = 0

Simplify (x^5)/(x^3)simplify

\frac{( x ^{5} )}{( x ^{3} )}

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\frac{12}{( 3 )}

Frequently Asked Questions (FAQ)

What is the answer to solvefor x,5^x=9 ?
The answer to solvefor x,5^x=9 is x=(2ln(3))/(ln(5))