What is the answer to 5log_{3}(1)+log_{4}(x+3)=3 ?

The answer to 5log_{3}(1)+log_{4}(x+3)=3 is x=61

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5log_{3}(1)+log_{4}(x+3)=3

5 lo g_{3} (1) + lo g_{4} (x + 3) = 3

x = 61

Solution steps

5 lo g_{3} (1) + lo g_{4} (x + 3) = 3

Move

5 lo g_{3} (1)

to the right side

lo g_{4} (x + 3) = 3 - 5 lo g_{3} (1)

Apply log rules

x + 3 = 64

Solve

x + 3 = 64 : x = 61

x = 61

Verify Solutions:

x = 61

True

The solution is

x = 61

x^{1 + l o g_{5} (x)} = 25 x^{2}

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

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

lo g_{3} ((2 x - 3)^{2}) - 2 = 0

4.1 = - lo g_{10} (x)

What is the answer to 5log_{3}(1)+log_{4}(x+3)=3 ?
The answer to 5log_{3}(1)+log_{4}(x+3)=3 is x=61
Solve for x: 5log_{3}(1)+log_{4}(x+3)=3
The solution is x=61