What is the answer to 7.56^X=6.76 ?

The answer to 7.56^X=6.76 is X=(ln(6.76))/(ln(7.56))

Solve for X: 7.56^X=6.76

The solution is X=(ln(6.76))/(ln(7.56))

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7.5 6^{X} = 6.76

X = \frac{ln ( 6.76 )}{ln ( 7.56 )}

Decimal Notation

X = 0.94470 \dots

Solution steps

7.5 6^{X} = 6.76

Apply exponent rules

X ln (7.56) = ln (6.76)

Solve

X ln (7.56) = ln (6.76) : X = \frac{ln ( 6.76 )}{ln ( 7.56 )}

X = \frac{ln ( 6.76 )}{ln ( 7.56 )}

4^{x} = 7

3^{- x} = 81

8^{x} = \frac{1}{4}

e^{2 x} - 8 e^{x} + 7 = 0

e^{2 x} - 9 e^{x} + 18 = 0

What is the answer to 7.56^X=6.76 ?
The answer to 7.56^X=6.76 is X=(ln(6.76))/(ln(7.56))
Solve for X: 7.56^X=6.76
The solution is X=(ln(6.76))/(ln(7.56))