What is the answer to 171=3(5)^x ?

The answer to 171=3(5)^x is x=(ln(57))/(ln(5))

Solve for x: 171=3(5)^x

The solution is x=(ln(57))/(ln(5))

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171 = 3 (5)^{x}

x = \frac{ln ( 57 )}{ln ( 5 )}

Decimal Notation

x = 2.51208 \dots

Solution steps

171 = 3 (5)^{x}

Switch sides

3 \cdot 5^{x} = 171

Divide both sides by

3

5^{x} = 57

Apply exponent rules

x ln (5) = ln (57)

Solve

x ln (5) = ln (57) : x = \frac{ln ( 57 )}{ln ( 5 )}

x = \frac{ln ( 57 )}{ln ( 5 )}

\frac{e ^{x} + 1}{e ^{x}} = 2

100 = 5 \cdot 1 0^{0.3 t}

5^{x^{2}} = 2^{5 x}

4^{x} + 5 = 21

7^{x + 2} = 343

What is the answer to 171=3(5)^x ?
The answer to 171=3(5)^x is x=(ln(57))/(ln(5))
Solve for x: 171=3(5)^x
The solution is x=(ln(57))/(ln(5))