What is the answer to 6^{5x}=27 ?

The answer to 6^{5x}=27 is x=(3ln(3))/(5ln(6))

Solve for x: 6^{5x}=27

The solution is x=(3ln(3))/(5ln(6))

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6^{5 x} = 27

x = \frac{3 ln ( 3 )}{5 ln ( 6 )}

Decimal Notation

x = 0.36788 \dots

Solution steps

6^{5 x} = 27

Apply exponent rules

5 x ln (6) = ln (27)

Solve

5 x ln (6) = ln (27) : x = \frac{3 ln ( 3 )}{5 ln ( 6 )}

x = \frac{3 ln ( 3 )}{5 ln ( 6 )}

100000 = 1 0^{x}

16 = 8^{x + 5}

4^{x} + 3 \cdot 2^{x - 1} - 1 = 0

4 \cdot 9^{2 x} + 14 4^{x} - 3 \cdot 1 6^{2 x} = 0

lo g_{10} (1 0^{x}) = 4

What is the answer to 6^{5x}=27 ?
The answer to 6^{5x}=27 is x=(3ln(3))/(5ln(6))
Solve for x: 6^{5x}=27
The solution is x=(3ln(3))/(5ln(6))