What is the answer to log_{1/7}(x)=2 ?

The answer to log_{1/7}(x)=2 is x= 1/49

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log_{1/7}(x)=2

lo g_{\frac{1}{7}} (x) = 2

x = \frac{1}{49}

Decimal Notation

x = 0.02040 \dots

Solution steps

lo g_{\frac{1}{7}} (x) = 2

Apply log rules

x = \frac{1}{49}

a, ln (a) = ln (b) + c

ln (7) = ln (10) + ln (x^{2} + 5)

2 + ln (x - 1) = 4

lo g_{2} (2 x - 6) = 3 + lo g_{2} (x + 3)

ln (x) = 7.990346728