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3 years ago

Evaluate each logarithm. Do not use a calculator. Log (125)(1/25)

Mathematics

1 answer:

svetlana [45]3 years ago

6 0

Answer:

-2/3

Step-by-step explanation:

Log125(1/25)=x

Raise each side to the base of 125

125^Log125(1/25)=125^x

1/25 = 125^x

Rewrite 25 as a power of 5 and 125 as a power of 5

1 / 5^2 = 5^3^x

The if power is in the denominator, we can bring it to the numerator by making it negative

5^-2 = 5^3^x

We know that a^b^c = a^(b*c)

5^-2 = 5^(3*x)

Since the bases are the same, the exponents are the same

-2 = 3x

Divide by 3

-2/3 = 3x/3

-2/3 =x

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Answer: " 267.95 m³ " .
______________________________________________________
Explanation:
________________________________________________________

V = (4/3) * $\pi$ * r³ ;

Given: diameter, "d" = "8 m" ;

radius, "r" = 8 m / 2 = 4 m "

V = (4/3) * $\pi$ * r³

V = (4/3) * $\pi$ *(4m)³

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