What is the answer to 10^x=162*10^{13} ?

The answer to 10^x=162*10^{13} is x=(ln(162*10^{13}))/(ln(10))

Solve for x: 10^x=162*10^{13}

The solution is x=(ln(162*10^{13}))/(ln(10))

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1 0^{x} = 162 \cdot 1 0^{13}

x = \frac{ln ( 162 \cdot 1 0 ^{13} )}{ln ( 10 )}

Decimal Notation

x = 15.20951 \dots

Solution steps

1 0^{x} = 162 \cdot 1 0^{13}

Apply exponent rules

x ln (10) = ln (162 \cdot 1 0^{13})

Solve

x ln (10) = ln (162 \cdot 1 0^{13}) : x = \frac{ln ( 162 \cdot 1 0 ^{13} )}{ln ( 10 )}

x = \frac{ln ( 162 \cdot 1 0 ^{13} )}{ln ( 10 )}

e^{- x^{2}} \cdot (- 2) x = 0

2^{2 x - 3} = 10

2^{x} \cdot 27 = 3^{x}

1 6^{x - 3} = 1 6^{2 x - 1}

x, 1 - (1 - 0.01)^{x} = 0.01

What is the answer to 10^x=162*10^{13} ?
The answer to 10^x=162*10^{13} is x=(ln(162*10^{13}))/(ln(10))
Solve for x: 10^x=162*10^{13}
The solution is x=(ln(162*10^{13}))/(ln(10))