What is the answer to 3log_{t}(3)+log_{t}(3)=4 ?

The answer to 3log_{t}(3)+log_{t}(3)=4 is t=3

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3log_{t}(3)+log_{t}(3)=4

3 lo g_{t} (3) + lo g_{t} (3) = 4

t = 3

Solution steps

3 lo g_{t} (3) + lo g_{t} (3) = 4

Add similar elements:

3 lo g_{t} (3) + lo g_{t} (3) = 4 lo g_{t} (3)

4 lo g_{t} (3) = 4

Divide both sides by

4

lo g_{t} (3) = 1

Apply log rules

\frac{1}{lo g _{3} ( t )} = 1

Multiply both sides by

lo g_{3} (t)

\frac{1}{lo g _{3} ( t )} lo g_{3} (t) = 1 \cdot lo g_{3} (t)

Simplify

1 = lo g_{3} (t)

Apply log rules

3 = t

Switch sides

t = 3

Verify Solutions:

t = 3

True

The solution is

t = 3

2 ln (5 x) = 4

2 ln (5 x) = 6

2 ln (5 x) = 8

x, 10 lo g_{10} (x) = 30

lo g_{3} ((r + 7)^{2}) = 4

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