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2 years ago

Which of the following is equivalent to the expression below? log 3-log 15

Mathematics

2 answers:

Nikitich [7]2 years ago

8 0

Answer:

$C. =log\frac{1}{5}$

Step-by-step explanation:

Formula =======================

consider a and b two real numbers

where a > 0 and b > 0.

$log\frac{a}{b} =loga-logb$

……………………………………………………………

log 3 − log 15

$=log\frac{3}{15}$

$=log\frac{3}{3\times 5}$

$=log\frac{1}{5}$

Lisa [10]2 years ago

6 0

Answer:

C log(1/5)

Step-by-step explanation:

log 3-log 15 = -log _10^(5)

log 5 = log _10^(5)

log (-12) = log _10^(-12)

log (1/5) = -log _10^(5)

log 12 = log _10^(12)

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Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

How do you evaluate logarithms? Explain using an example or mathematical evidence to support your answer.

kenny6666 [7]

Answer: Explanation below.

Step-by-step explanation:

First of all you need to know how to convert a logarithm into an exponential expression. The property is:

$log_Bx=n$

This is the same as: $B^n=x$

Example 1:

$log_99=$

We are trying to find what to raise 9 to, in order to get a result of 9.

$9^x=9$

When you have same bases, you equal exponents.

$x=1$

Therefore; $log_99=1$

Example 2:

$log_232=$

$2^x=32$

In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as: $2^5$ which is 2*2*2*2*2

Rewriting this example we have;

$2^x=2^5$

Since we have the same base, we equal exponents.

$x=5$

Therefore; $log_232=5$

Example 3:

$log_3729=$

$3^x=729$

729 can have a base of 3 if expressed as: $3^6$

$3^x=3^6$

$x=6$

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4 years ago

Read 2 more answers