What is the answer to 0.562=10^{34x} ?

The answer to 0.562=10^{34x} is x=(ln(0.562))/(34ln(10))

Solve for x: 0.562=10^{34x}

The solution is x=(ln(0.562))/(34ln(10))

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0.562 = 1 0^{34 x}

x = \frac{ln ( 0.562 )}{34 ln ( 10 )}

Decimal Notation

x = - 0.00736 \dots

Solution steps

0.562 = 1 0^{34 x}

Apply exponent rules

ln (0.562) = 34 x ln (10)

Solve

ln (0.562) = 34 x ln (10) : x = \frac{ln ( 0.562 )}{34 ln ( 10 )}

x = \frac{ln ( 0.562 )}{34 ln ( 10 )}

(\frac{1}{5})^{x + 3} = 2 5^{- x}

3^{2 x - 5} = 18

5^{2 x + 1} = \frac{1}{125}

6^{2 + 2} = 7^{x - 1}

What is the answer to 0.562=10^{34x} ?
The answer to 0.562=10^{34x} is x=(ln(0.562))/(34ln(10))
Solve for x: 0.562=10^{34x}
The solution is x=(ln(0.562))/(34ln(10))