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3 years ago

Type the correct answer in the box below.

Mathematics

1 answer:

AysviL [449]3 years ago

6 0

Regroup the terms
2nd as a fraction is 3/4, converted to decimal is 0.75 :)

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What’s 18/1 as a mixed number

Alina [70]

Answer:

Step-by-step explanation:

18 over 1 is still 18. It shouldn't be a mixed number

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3 years ago

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Solve to find x <br> log (3x+5) to base 5= 2log (1-3x) to base 25

Eduardwww [97]

Answer:

x = -2/ 3

Step-by-step explanation:

in order to cancel out the logs they should have common bases

$\mathsf{ log_{5}(3x + 5) = 2 log_{25}(1 - 3x) }$

we can write 25 as 5²

$\mathsf{ \implies log_{5}(3x + 5) = 2 \: log_{ {5}^{2} }(1 - 3x) }$

we know that the reciprocal of the exponents of the bases are multiplied to the log

$\mathsf{ \implies log_{5}(3x + 5) = \frac{1}{\cancel{2} } \times \cancel{2} \: log_{ 5}(1 - 3x) }$

and now since the logs have common bases

$\mathsf{ \implies \cancel { log_{5}}(3x + 5) = \cancel{ log_{ 5}}(1 - 3x) }$

we're left with

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$\mathsf{ \implies 9x = -4}$

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3 years ago

How do you show your work on this question -x/3+2=-5

Ilya [14]

Hello!

$\large\boxed{x = 21}$

$\frac{-x}{3} + 2 = -5$

Begin isolating for x by subtracting 2 from both sides:

$\frac{-x}{3} + 2 - 2 = -5 - 2\\\\\frac{-x}{3} = -7$

Further simplify by multiplying both sides by 3:

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Multiply both sides by -1 to cancel out the -x:

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3 years ago

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user100 [1]

Answer:

Step-by-step explanation:associative: a+(b+c)=(a+b)+c

commutative: a+b=b+a

distributive: a(b+c)=ab+ac

inverse: I think it is a times 1/a=1, doesn't matter

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