What is log base 5(4*7 )+log base 5 of 2 written as a single log?

2 answers:

nataly862011 [7]3 years ago

7 0

The answer for the exercise shown above is the last option (Option D), which is:

D. log base 5 of 56

The explanation is show below:

1. You have the following logarithm expresssion:

<span>log5(4*7 )+log5(2)
</span>
2. By the logarithms properties, you can rewrite the logarithm expression as following:

log5(28)(2)
log5(56)

3. Therefore, as you can see, the answer is the option mention before.

sergey [27]3 years ago

3 0

Answer:

D. log base 5 of 56

Step-by-step explanation:

Since, by the multiplication law of logarithm,

$log_a(m)+log_a(n) = log_a(mn)$

Given expression is,

log base 5(4*7 )+log base 5 of 2

$=log_5(4\times 7)+log_5(2)$

$=log_5(28)+log_5(2)$

By the above property,

$=log_5(28\times 2)$

$=log_5(56)$

= log base 5 of 56

Hence, Option D is correct.

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If As income is 20% more than Bs income, how much percent is Bs income less than As income

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$As\ is\ 120\%\ Bs\\\\120\%=1.2\to\frac{As}{Bs}=1.2\\\\\frac{As}{Bs}=\frac{12}{10}\to\frac{Bs}{As}=\frac{10}{12}\to\frac{Bs}{As}=\frac{5}{6}\\\\\frac{5}{6}\cdot100\%=\frac{500}{6}\%=83\frac{1}{3}\%\\\\100\%-83\frac{1}{3}\%=16\frac{2}{3}\%\\\\Answer:Bs\ income\ is\ 16\frac{2}{3}\%\ less\ than\ As\ income.$