What is the answer to (7^{3x})^3=243 ?

The answer to (7^{3x})^3=243 is x=(5ln(3))/(9ln(7))

Solve for x: (7^{3x})^3=243

The solution is x=(5ln(3))/(9ln(7))

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(7^{3 x})^{3} = 243

x = \frac{5 ln ( 3 )}{9 ln ( 7 )}

Decimal Notation

x = 0.31365 \dots

Solution steps

(7^{3 x})^{3} = 243

Apply exponent rules

3 x \cdot 3 ln (7) = ln (243)

Solve

3 x \cdot 3 ln (7) = ln (243) : x = \frac{5 ln ( 3 )}{9 ln ( 7 )}

x = \frac{5 ln ( 3 )}{9 ln ( 7 )}

2^{x - 1} = \frac{1}{8}

2 5^{x + 2} = 5^{x^{2} + 6 x + 7}

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

5^{2 x - 3} = 7^{x - 1}

ln (e^{5 x}) + ln (4) = 6

What is the answer to (7^{3x})^3=243 ?
The answer to (7^{3x})^3=243 is x=(5ln(3))/(9ln(7))
Solve for x: (7^{3x})^3=243
The solution is x=(5ln(3))/(9ln(7))