What is the answer to log_{4}(2-x)=log_{16}(25) ?

The answer to log_{4}(2-x)=log_{16}(25) is x=-3

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log_{4}(2-x)=log_{16}(25)

lo g_{4} (2 - x) = lo g_{16} (25)

x = - 3

Solution steps

lo g_{4} (2 - x) = lo g_{16} (25)

Apply log rules

2 - x = 5

Solve

2 - x = 5 : x = - 3

x = - 3

Verify Solutions:

x = - 3

True

The solution is

x = - 3

- 6 + lo g_{10} (x - 1) = lo g_{10} (5)

- 3 lo g_{5} (3) = lo g_{5} (x)

0 = lo g_{2} (3 x - 4) + 1

ln (2 x) + ln (4 x) = 0

ln (x) = 1 - ln (x - 3)

What is the answer to log_{4}(2-x)=log_{16}(25) ?
The answer to log_{4}(2-x)=log_{16}(25) is x=-3
Solve for x: log_{4}(2-x)=log_{16}(25)
The solution is x=-3