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Vladimir [108]
4 years ago
11

What is the solution log2x-4(16)=4?

Mathematics
1 answer:
Diano4ka-milaya [45]4 years ago
6 0
In order for this to be true, 2x - 4 has to equal 2, because

㏒2 16 = 4

2x - 4 = 2
2x = 6
x = 3

Hope it helps!
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Answer: Yes, it's true.

Step-by-step explanation:

The first step is to convert the mixed number 1\frac{2}{5} to a fraction. The procedure for this is:

  1. Multiply the whole number 1 by the denominator 5.
  2. Add the product obtained and the numerator 2 (This will be the numerator of the fraction).
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Then:

1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{7}{5}

Rewrite the equation:

\frac{7}{5}-\frac{3}{4}=\frac{1}{4}+\frac{2}{5}

Notice that the denominators on the left side are 4 and 5 and the denominator on the right side are also 4 and 5.

Then, the Least Common Denominator (LCD) on both sides is:

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LCD=5*2^2=20

Now we can solve the subtraction on the left side of the equation and the addition on the righ side:

\frac{(7*4)-(3*5)}{20}=\frac{(1*5)+(2*4)}{20}\\\\\frac{13}{20}=\frac{13}{20}

Therefore:

1\frac{2}{5}-\frac{3}{4}=\frac{1}{4}+\frac{2}{5}  (IT'S TRUE)

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