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Consider the equation -16 * 10^(6x) = -80

Solve the equation for x. Express the solution as a logarithm in base-10
x=
Approximate the value of x. Round your answer to the nearest thousandth
x=

Sagot :

The approximate the value of x in the equation -16 * 10⁶ˣ = -80 is 0.116.

What is an equation?

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

Given the equation:

-16 * 10⁶ˣ = -80

Dividing both sides by -16:

10⁶ˣ = 5

Taking ln of both sides:

6xln(10) = ln(5)

Finding the value of x:

x = 0.116

The approximate the value of x in the equation -16 * 10⁶ˣ = -80 is 0.116.

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