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3 years ago

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

Mathematics

1 answer:

Amanda [17]3 years ago

5 0

Answer:

$t=\frac{ln 3}{12ln(1 +\frac{0.07}{12})}$

t=15.74

Step-by-step explanation:

$( 1 + 0.07/12)^{12t} = 3$

Take ln on both sides

$ln(( 1 +\frac{0.07}{12})=ln 3$

move the exponent 12t before ln as per log property

$12tln(1 +\frac{0.07}{12})=ln 3$

now divide the ln on both sides to make 12t alone

$12t=\frac{ln 3}{ln(1 +\frac{0.07}{12})}$

divide both sides on both sides

$t=\frac{ln 3}{12ln(1 +\frac{0.07}{12})}$

t=15.74

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