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3 years ago

What 2 digit numbers multiply to 2,025

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

Square root 2,025 to get 45.
Or, multiply 45 × 45 to get 2,025.

Answer: 45

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0

1 year ago

If the measure of the angle in the southwest corner of the intersection of Broadway and 21st Street is approximately 105ºwhat is

Karolina [17]

Answer:

95°

Step-by-step explanation:

The angle on the 20TH street and 22ND street must add up to 180° so the answer is 95°

5 0

3 years ago

A savings account compounds interest, at a rate of 25%, once a year. Eve puts $500 in the account as the principal. How can Eve

vladimir1956 [14]

Year 1: 500 + 0.25*500 = 500 [1 + 0.25]

Year 2: 500*[ 1 + 0.25] * [1 + 0.25] = 500 [1 + 0.25]^2

Year x: 500 [1 + 0.25]^x

Option d: A(x) = 500[1 + .25]^x, where .25 is the interest rate

5 0

3 years ago

Solve the following by factoring 4x² + 12 =7x

LiRa [457]

Answer:

4x² + 12 = 7x

4x² + 12 - 7x = 0

use the quadratic formula and get your answer!

Step-by-step explanation:

3 0

3 years ago

What is the value of this expression?<br> 2.3·23.623

lora16 [44]

Answer:

54.3329

Step-by-step explanation:

calculator said so lol

4 0

2 years ago