What is the answer to 10^x=7 ?

The answer to 10^x=7 is x=(ln(7))/(ln(10))

The solution is x=(ln(7))/(ln(10))

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10^x=7

1 0^{x} = 7

x = \frac{ln ( 7 )}{ln ( 10 )}

Decimal Notation

x = 0.84509 \dots

Solution steps

1 0^{x} = 7

Apply exponent rules

x ln (10) = ln (7)

Solve

x ln (10) = ln (7) : x = \frac{ln ( 7 )}{ln ( 10 )}

x = \frac{ln ( 7 )}{ln ( 10 )}

3^{x + 2} + 3^{x} + 3^{x - 2} = 91

2^{x^{2} + 2 x + 1} = 3

3^{2 x} - 30 (3^{x}) + 81 = 0

x, e^{x} = e^{y}

8^{3 - x} = 4 \cdot 2^{1 - 2 x}