What is the answer to 6^x=38 ?

The answer to 6^x=38 is x=(ln(38))/(ln(6))

The solution is x=(ln(38))/(ln(6))

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6^x=38

6^{x} = 38

x = \frac{ln ( 38 )}{ln ( 6 )}

Decimal Notation

x = 2.03017 \dots

Solution steps

6^{x} = 38

Apply exponent rules

x ln (6) = ln (38)

Solve

x ln (6) = ln (38) : x = \frac{ln ( 38 )}{ln ( 6 )}

x = \frac{ln ( 38 )}{ln ( 6 )}

6^{x} = 15

5^{2 x + 1} = 3125

5^{m} - 4 (3^{m}) = 0

4^{(x + 1)} + 2^{(x + 3)} = 320

3^{l o g_{3} (x - 2)} = 5