What is the answer to 7^x=10 ?

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

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

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7^x=10

7^{x} = 10

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

Decimal Notation

x = 1.18329 \dots

Solution steps

7^{x} = 10

Apply exponent rules

x ln (7) = ln (10)

Solve

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

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

2 7^{x + 5} = 9^{2 x + 3}

3^{2 x - 4} = 1

e^{- y} = 0

9^{x} + 3 = 28 (3^{x - 1})

4^{x - 10} = (\frac{1}{64})^{5 x + 2}