What is the answer to 6^x=53 ?

The answer to 6^x=53 is x=(ln(53))/(ln(6))

The solution is x=(ln(53))/(ln(6))

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6^x=53

6^{x} = 53

x = \frac{ln ( 53 )}{ln ( 6 )}

Decimal Notation

x = 2.21586 \dots

Solution steps

6^{x} = 53

Apply exponent rules

x ln (6) = ln (53)

Solve

x ln (6) = ln (53) : x = \frac{ln ( 53 )}{ln ( 6 )}

x = \frac{ln ( 53 )}{ln ( 6 )}

15 = 6 0^{(2 l n (\frac{2}{3}) t)}

6^{x} = 67

6^{x} = 35

\frac{1}{2} - e^{- x} = 0

6^{x} = 10