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Can you explain the answer of this question below:
Find the value of [log10?25-log10(23)+log10(4)2]x
- A:X
- B:10
- C:1
- D:none
The answer is c.
Verified Answer
Can you explain the answer of this question below:Find the value of [l...
= [log10 25 - log10(23) + log10(4)2]
= (1.397940009 - 0.903089987 + 1.204119983)
= (1.397940009 - 0.903089987 + 1.204119983)
= 1.698970005
Most Upvoted Answer
Can you explain the answer of this question below:Find the value of [l...
Given expression: [log1025 - log10(23) + log10(4)2]
We know that:
- loga(b) = logc(b) / logc(a) (change of base formula)
Using the change of base formula, we can rewrite the given expression as:
- [log(1025) / log(10) - log(23) / log(10) + 2log(4) / log(10)]
Simplifying further, we get:
- [log(1025) - log(23) + 2log(4)]
Now, using the properties of logarithms:
- log(ab) = log(a) + log(b)
- log(a/b) = log(a) - log(b)
- nlog(a) = log(an)
We can simplify the expression as follows:
- log(1025/23) + log(42)
- log(45) + 2log(2)
- log(45) + log(22)
- log(45 x 2)
- log(90)
Finally, using a calculator, we get:
- log(90) ≈ 1.69
Therefore, the value of the given expression is approximately 1.69. Hence, option (c) is correct.
We know that:
- loga(b) = logc(b) / logc(a) (change of base formula)
Using the change of base formula, we can rewrite the given expression as:
- [log(1025) / log(10) - log(23) / log(10) + 2log(4) / log(10)]
Simplifying further, we get:
- [log(1025) - log(23) + 2log(4)]
Now, using the properties of logarithms:
- log(ab) = log(a) + log(b)
- log(a/b) = log(a) - log(b)
- nlog(a) = log(an)
We can simplify the expression as follows:
- log(1025/23) + log(42)
- log(45) + 2log(2)
- log(45) + log(22)
- log(45 x 2)
- log(90)
Finally, using a calculator, we get:
- log(90) ≈ 1.69
Therefore, the value of the given expression is approximately 1.69. Hence, option (c) is correct.
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Community Answer
Can you explain the answer of this question below:Find the value of [l...
= log25 - log 8 + log 16
= 1.3980 - 0.9031 + 1.2041
= 0.4949 + 1.2041
= 1.699
Therefore the value of given equation is 1.699
i.e. option C) 1.69
= 1.3980 - 0.9031 + 1.2041
= 0.4949 + 1.2041
= 1.699
Therefore the value of given equation is 1.699
i.e. option C) 1.69
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Can you explain the answer of this question below:Find the value of [log10?25-log10(23)+log10(4)2]xA:XB:10C:1D:noneThe answer is c.
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