What is the answer to 4=-2.5log_{10}(Δl) ?

The answer to 4=-2.5log_{10}(Δl) is No Solution for l\in\mathbb{R}

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4=-2.5log_{10}(Δl)

4 = - 2.5 lo g_{10} (Δ l)

No Solution for l \in R

Solution steps

4 = - 2.5 lo g_{10} (Δ l)

Switch sides

- 2.5 lo g_{10} (Δ l) = 4

Divide both sides by

- 2.5

lo g_{10} (Δ l) = - 1.6

Apply log rules

Δ l = \frac{1}{1 0 ^{1.6}}

Solve

Δ l = \frac{1}{1 0 ^{1.6}} : l = \frac{1}{1 0 ^{1.6} Δ}

l = \frac{1}{1 0 ^{1.6} Δ}

Verify Solutions:

l = \frac{1}{1 0 ^{1.6} Δ}

False

The solution is

No Solution for l \in R

x, - y + lo g_{3} (x + 7) = - 4

2 + 3 ln (x) = 4

lo g_{2} (x) = lo g_{2} (6)

lo g_{5} (x) (15.625) = 6

x^{2} = x lo g_{2} (x)

What is the answer to 4=-2.5log_{10}(Δl) ?
The answer to 4=-2.5log_{10}(Δl) is No Solution for l\in\mathbb{R}