Mathematics: Which is 5logx - 6log(x-8) written as a single logarithm?

Which is 5logx - 6log(x-8) written as a single logarithm?

aleklupo3353

15.01.2022

option a

$log\frac{x^{5} }{(x-8)^{6} }$

Step-by-step explanation:

Given in the question an expression

5logx - 6log(x-6)

To solve this question we will apply two of the logarithm property

1) power rule

alogx = log $x^{n}$

log $x^{5}$ - log $(x-8)^{6}$

2) substraction rule

The log of a quotient is the difference of the logs

loga (x/y) = loga x - loga y

$logx^{5}- log(x-8)^{6}$

log $\frac{x^{5} }{(x-8)^{6} }$

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rachel2005smith

29.01.2020

There are two distinct rational solutions

Step-by-step explanation:

x^2 -1 = 24

Add 1 to each side

x^2 -1+1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

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