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Consider the equation -5\cdot e^{10t}=-30−5⋅e
10t
=−30minus, 5, dot, e, start superscript, 10, t, end superscript, equals, minus, 30.
Solve the equation for ttt. Express the solution as a logarithm in base-eee.
t=
Approximate the value of ttt. Round your answer to the nearest thousandth.
t=

Consider the equation 5cdot e10t305e 10t 30minus 5 dot e start superscript 10 t end superscript equals minus 30 Solve the equation for ttt Express the solution class=

Respuesta :

ashishdwivedilVT

The approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

What is Exponential equation?

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Here, given equation; (we are using n in place of t)

          -5.e¹⁰ⁿ = -30

      On dividing -5 both sides, we get

           -5.e¹⁰ⁿ/-5 = -30/-5

                e¹⁰ⁿ  = 6

 Taking 'ln' on both side, we get

             10n = ln 6

              n = (ln 6)/10

              n = 1.791759/10

              n = 0.179

Thus, the approximate equation is n = (ln 6)/10 and approximate value is n = 0.179.

Learn more about exponential function from:

https://brainly.com/question/14355665

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