What is the answer to 5^x=20 ?

The answer to 5^x=20 is x=(ln(20))/(ln(5))

The solution is x=(ln(20))/(ln(5))

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5^x=20

5^{x} = 20

x = \frac{ln ( 20 )}{ln ( 5 )}

Decimal Notation

x = 1.86135 \dots

Solution steps

5^{x} = 20

Apply exponent rules

x ln (5) = ln (20)

Solve

x ln (5) = ln (20) : x = \frac{ln ( 20 )}{ln ( 5 )}

x = \frac{ln ( 20 )}{ln ( 5 )}

4 e^{2 x} = 5

1 6^{n - 7} + 5 = 24

y, 3 x^{3} y + e^{y} = 4 x + 6

2^{x^{2} + 3 x - 10} = 256

4^{3 x} = 2^{2 x - 8}