Question

Arrange the steps in the correct order to solve the equation. Take the log of each side: . Use the Exponential Property and write in decimal form: . Divide each side by log 2: . Find the value of and substitute: . Divide both sides of the equation by 3: . Add 5 to each side of the equation: . Add 4 to each side of the equation: . Simplify: .

Answer 1

The steps arranged in the correct order is Add 4 to both sides, Divide both sides of the equation by 3, Take the log of each side, Divide each side by log 2, Add 5 to each side of the equation and Use the Exponential Property and write in decimal form.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation 3(2 ^ (2t - 5)) - 4 = 10

Add 4 to both sides:

3(2 ^ (2t - 5)) - 4 + 4 = 10 + 4

3(2 ^ (2t - 5)) = 14

Divide both sides of the equation by 3:

[3(2 ^ (2t - 5))] / 3 = 14/3

2 ^ (2t - 5) = 14/3

Take the log of each side:

(2t - 5)log(2) = log(14/3)

Divide each side by log 2:

2t - 5 = log(14/3) / log(2)

Add 5 to each side of the equation:

2t = log(14/3) / log(2)

Use the Exponential Property and write in decimal form:

t = 1.11

The steps arranged in the correct order is Add 4 to both sides, Divide both sides of the equation by 3, Take the log of each side, Divide each side by log 2, Add 5 to each side of the equation and Use the Exponential Property and write in decimal form.

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