What is the answer to 5^x=49 ?

The answer to 5^x=49 is x=(2ln(7))/(ln(5))

The solution is x=(2ln(7))/(ln(5))

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5^x=49

5^{x} = 49

x = \frac{2 ln ( 7 )}{ln ( 5 )}

Solution steps

5^{x} = 49

Apply exponent rules

x ln (5) = ln (49)

Solve

x ln (5) = ln (49) : x = \frac{2 ln ( 7 )}{ln ( 5 )}

x = \frac{2 ln ( 7 )}{ln ( 5 )}

x, 3 = 2^{x}

5^{x} = 38

2^{x + 3} + 10 = 42

3^{x} + 3^{3 x} = 30

(23)^{x} = 1728