Evaluate the expression without using a calculator: log10^3x-2y

Mathematics

2 answers:

kykrilka [37]4 years ago

4 0

Answer:

$\huge\boxed{\log10^{3x-2y}=3x-2y}$

Step-by-step explanation:

$\text{Use}\\\\(1)\log x=\log_{10}x\qquad(x>0)\\\\(2)\log_ab^n=n\log_ab\qquad(a>0;\ a\neq1;\ b>0)\\\\(3)\log_aa=1\qquad(a>0;\ a\neq1)\\\\\log10^{3x-2y}=\underbrace{(3x-2y)\log10}_{(2)}=\underbrace{(3x-2y)\log_{10}10}_{(1)}=\underbrace{(3x-2y)(1)}_{(3)}=3x-2y$

Kruka [31]4 years ago

3 0

Answer:

3x-2y

Step-by-step explanation:

log10^(3x-2y)

We know the base is base 10 since it is not written

log10 10^(3x-2y)

The log10 10 cancels

3x-2y

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3 years ago

I think is b but not sure<br> It could be c

MaRussiya [10]

Hello!! Actually I got A x = 2, y = 12.

Whenever you plug them in, 2(2) + 3(12) = 40

-2(2) + 2(12) = 20

It worked for me this way, I hope this is the right answer. Have a great day!

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