What is the answer to log_{3}(log_{1/2}(x)-3*log_{1/2}(x)+5)=2 ?

The answer to log_{3}(log_{1/2}(x)-3*log_{1/2}(x)+5)=2 is x=4

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log_{3}(log_{1/2}(x)-3*log_{1/2}(x)+5)=2

lo g_{3} (lo g_{\frac{1}{2}} (x) - 3 \cdot lo g_{\frac{1}{2}} (x) + 5) = 2

x = 4

Solution steps

lo g_{3} (lo g_{\frac{1}{2}} (x) - 3 lo g_{\frac{1}{2}} (x) + 5) = 2

Apply log rules

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

lo g_{10} (x^{2}) - 1 = lo g_{10} (3 x)

lo g_{3} (4 - 4 x) = 1

lo g_{4} (2 x - 32) = 5

lo g_{3} (x^{2} - x - 5) - lo g_{3} (x) = 1

lo g_{10} (98 + x^{2} - 12 x + 36) = 2

What is the answer to log_{3}(log_{1/2}(x)-3*log_{1/2}(x)+5)=2 ?
The answer to log_{3}(log_{1/2}(x)-3*log_{1/2}(x)+5)=2 is x=4
Solve for x: log_{3}(log_{1/2}(x)-3*log_{1/2}(x)+5)=2
The solution is x=4