Question

I need workings pls.and I want you to understand my questions

1.)log base 16 0.25
2.)log base 7 ¹/7
3.)log base 4 ⅛
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Answer 1

Explanation:

1. Let a = log16 0.25, then:

0.25 = 16 ^ a = 16^-0.5

So the answer is -0.5.

2. log7 1/7

1/7 = 7^-1

Answer is -1.

3. log4 1/8

1/8 = 4^(-1.5)

Answer is -1.5

Answer 2

-1/2 , -1, -3/2

Explanation:

1.)log base 16 1/4

log base 16
`4 ^(-1 )` =x

`16 ^(x) = 1/4`

x = -1/2

2.)log base 7 ¹/7

log base 7
`7^(-1)` = x

7^x = 7^-1

x = -1

3.)log base 4 ⅛

4^x = 1/8

`2^(2x) = 2^(-3)`

2x = -3

x = -3/2