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3 years ago

Simplify: log base 3 (1/3) ...?

1 answer:

6 0

The answer is 1.

$log_3( \frac{1}{3} )$
_____
Since $log_y(x) = \frac{log_{10}(x)}{log_{10}(y)}$ , then: $log_3( \frac{1}{3} )= \frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)}$
_____
Since $\frac{1}{x} = x^{-1}$ , then: $\frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)} = \frac{log_{10}(3^{-1} )}{log_{10}(3)}$
_____
Since $log x^{a} =a*logx$ , then: $\frac{log_{10}(3^{-1} )}{log_{10}(3)}= \frac{-1*log_{10}(3)}{log_{10}(3)}$

From here: $\frac{-1*log_{10}(3)}{log_{10}(3)}=-1*\frac{log_{10}(3)}{log_{10}(3)}=-1*1 = -1$

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iren2701 [21]

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2 years ago

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Urgent!!! Will give thanks and branliest!

agasfer [191]

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5/6 of an hour times 36 mph = 30 miles.mph looks good.
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his rate of speed then was the airplane speed plus the wind speed.coming back he was against the wind.his rate of speed then was the airplane speed minus the wind speed.-----50 mph = A + W36 mph = A - W-----looks like A + W - (A - W) should equal 50 - 36.removing parentheses, equation becomesA + W - A + W = 14.
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3 years ago

2/3 divided by 8/7 =

Sauron [17]

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Answer:

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Step-by-step explanation:

Solving using empirical rule formula

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Hence, the lower bound 95% =

μ - 2σ

Mean = 0.2

Standard deviation of 0.05

= μ - 2σ

= 0.2 - 2(0.05)

= 0.2 - 0.1

= 0.1

The lower bound is 0.1

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3 years ago

Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove

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C. Both options A and B will allow him to meet his goal.

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