What is the answer to log_{4}(x^7)=-6 ?

The answer to log_{4}(x^7)=-6 is x= 1/(4^{6/7)}

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log_{4}(x^7)=-6

lo g_{4} (x^{7}) = - 6

x = \frac{1}{4 ^{\frac{6}{7}}}

Decimal Notation

x = 0.30475 \dots

Solution steps

lo g_{4} (x^{7}) = - 6

Apply log rules

x = \frac{1}{4 ^{\frac{6}{7}}}

Verify Solutions:

x = \frac{1}{4 ^{\frac{6}{7}}}

True

The solution is

x = \frac{1}{4 ^{\frac{6}{7}}}

- x + ln (x) 0.2 x = 0

15 = 25420 + 1581394 \cdot ln (x)

(2 x + 3) ln (5) = 60 (ln (x))

lo g_{2} (x) + 3 = lo g_{2} (x - 7)

lo g_{7 x} (1) = x

What is the answer to log_{4}(x^7)=-6 ?
The answer to log_{4}(x^7)=-6 is x= 1/(4^{6/7)}
Solve for x: log_{4}(x^7)=-6
The solution is x= 1/(4^{6/7)}