MATHEMATICS HIGH SCHOOL

For any positive numbers a, b, and d, with b ≠ 1, logb(a^d) = _____.A. d + logb a
B. logb a + logb d
C. d logb a
D. ad logb ad

Answers

Answer 1
Answer: ANSWER

log_(b)( {a}^(d) ) = d \: log_(b)(a)

EXPLANATION

This is a straightforward property of logarithm.

It was derived from one of the laws of indices as follows,

Let
a= {b}^(m) - - (1)

We can write this as a logarithmic equation to get,

m = log_(b)( a ) - - (2)

When we raise both sides of equation (1) to the exponent of d, we get

{a}^(d) = ( {b}^(m) )^(d)

{a}^(d) = ( {b}^(md) )

We rewrite this last equation as logarithm

log_(b)( {a}^(d) ) =md

m = log_(b)( a )

This implies that
log_(b)( {a}^(d) ) = d log_(b)( a )

The correct answer is C

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10 times as many as 1 ten is ______ tens.

Answers

same 10 tens I guess

Final answer:

The phrase '10 times as many as 1 ten' simply means making 10 groups that are exactly the size of 1 ten (which is your original amount). Hence, '10 times as many as 1 ten' is equal to ten tens.

Explanation:

In a mathematical perspective, when you have 1 ten and you want to find out what 10 times as many is, you simply multiply your original amount by 10. In this case, if you multiply 1 ten by 10, the product is 100. However, when you look at it in terms of tens, your original amount is simply 1 group of ten, and if you create 10 groups exactly that size, you end up with 10 tens. So 10 times as many as 1 ten is 10 tens.

Learn more about Multiplication here:

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HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC

Answers

Answer:

b

Step-by-step explanation:

angle b = angle e = 90 (given) R

if ac = df H

bc = ef (given) S

What is the answer for
80=30t

Answers

Answer:

t = 8/3

Step-by-step explanation:

80 = 30t

t = 80/30

t = 8/3

Answer: t = 8/3

Step-by-step explanation:

divide 30 on both sides: t=80/30

t = 8/3

-3x + 6 - 5(2x - 3)

Answers

Answer:

-13x+9

Step-by-step explanation:

I believe this is right

Answer:

-13x + 21

Step-by-step explanation:

-3x + 6 - 5(2x-3)

-3x + 6 - 10x +15

-13x + 21

2/5 / 2/3 how to divide fractions?

Answers

you use KCF- keep change flip 
2/5 X 3/2 = 6/10 = 3/5

this is part 2 and you just have to find the total area in sq ft and also answer how much material do you need to make 3 backpacks

Answers

1. 1 1/8= 18/16

5/16*2= 10/16

4/16*2= 8/16

9/16= 9/16

1/2= 8/16


18/16 + 10/16 + 8/16 + 9/16 + 8/16= 53/16

Simplify:

4 & 5/16sq ft

2. All you do is multiply that by 3... so 4 & 5/16 = 53/16 53/16*3 = 159/16 = 9 & 15/16 sq ft

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