What is the answer to 5*18^{6x}=26 ?

The answer to 5*18^{6x}=26 is x=(ln(26/5))/(6ln(18))

Solve for x: 5*18^{6x}=26

The solution is x=(ln(26/5))/(6ln(18))

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5 \cdot 1 8^{6 x} = 26

x = \frac{ln ( \frac{26}{5} )}{6 ln ( 18 )}

Decimal Notation

x = 0.09506 \dots

Solution steps

5 \cdot 1 8^{6 x} = 26

Divide both sides by

5

1 8^{6 x} = \frac{26}{5}

Apply exponent rules

6 x ln (18) = ln (\frac{26}{5})

Solve

6 x ln (18) = ln (\frac{26}{5}) : x = \frac{ln ( \frac{26}{5} )}{6 ln ( 18 )}

x = \frac{ln ( \frac{26}{5} )}{6 ln ( 18 )}

5^{x} = 4

6^{x} = 216

3^{2 x + 2} + 3^{x + 3} - 10 = 0

2 5^{x} - 6 \cdot 5^{x} + 5 = 0

2^{x + 1} = 8

What is the answer to 5*18^{6x}=26 ?
The answer to 5*18^{6x}=26 is x=(ln(26/5))/(6ln(18))
Solve for x: 5*18^{6x}=26
The solution is x=(ln(26/5))/(6ln(18))