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4 years ago

Solve log 3x -log 13=2. Round to the nearest thousandth if necessary.

1 answer:

4 0

$\bf \textit{Logarithm of rationals}\\\\
log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y)
\\\\\\
\textit{Logarithm Cancellation Rules}\\\\
log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\
-------------------------------\\\\
log(3x)-log(13)=2\implies log_{10}(3x)-log_{10}(13)=2
\\\\\\
log_{10}\left( \frac{3x}{13} \right)=2\implies 10^{log_{10}\left( \frac{3x}{13} \right)}=10^2\implies \cfrac{3x}{13}=2
\\\\\\
3x=26\implies x=\cfrac{26}{3}\implies x=8\frac{2}{3}$

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Read 2 more answers

If Valerie deposited 12,000 into an account threat earns 15% simple annual interest how much money will she have after 3 years

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Answer:

The amount which she will have into account after 3 years is 17,400 unit

Step-by-step explanation:

Given as :

The principal which is deposited into an account = 12,000 unit

The rate of interest simple annual = 15%

The Time period = 3 years

Let The amount which she have after 3 years = A unit

<u>From simple Interest method</u>

Simple Interest = $\frac{Principal\times Rate\times Time}{100}$

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3 years ago

If f(x)= 9x-8 and g(x)=x^3,what is (g o f)(1)?

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(f∘g)(3) = f(g(3))

Find g(3) by substituting x=3 in g(x)

g(x)=x²-1

g(3)=3²-1

g(3)=9-1

g(3)=8

f*g(3) = f(g(3)) = f(8)

find f(8) by substituting x=8 in f(x):

f(x)=2x+3

f(8)=2(8)+3

f(8)=16+3

f(8)=19

So f∘g(3) = 19

Sorry I am wrong

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4 years ago