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. The simplified value of 2 log105 log108 – ½ log104 is (a) 1/2 (b) 4 (c) 2 (d) none of these?
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. The simplified value of 2 log105 log108 – ½ log104 is (a) 1/2 (b) ...
Solution:

Given expression is 2 log105 log108 – ½ log104

We know,

loga b = log c b / log c a

On applying this property, we get

log105 = log10 5 / log10 10

log108 = log10 8 / log10 10

log104 = log10 4 / log10 10

Substituting the above values in the given expression, we get

2 log105 log108 – ½ log104

= 2 (log10 5 / log10 10) (log10 8 / log10 10) – ½ (log10 4 / log10 10)

= 2 (log10 5 * log10 8) / (log10 10)2 – ½ (log10 4) / (log10 10)

= 2 (log10 40) / (log10 100) – ½ (log10 4) / (log10 10)

= 2 (log10 40) / 2 – ½ (log10 4)

= log10 40 – log10 √4

= log10 40 – log10 2

= log10 (40 / 2)

= log10 20

= 1 + log10 2

= 1 + 0.3010

= 1.3010

Therefore, the simplified value of the given expression is 1.3010.

Answer: (d) none of these
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. The simplified value of 2 log105 log108 – ½ log104 is (a) 1/2 (b) 4 (c) 2 (d) none of these?
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. The simplified value of 2 log105 log108 – ½ log104 is (a) 1/2 (b) 4 (c) 2 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about . The simplified value of 2 log105 log108 – ½ log104 is (a) 1/2 (b) 4 (c) 2 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . The simplified value of 2 log105 log108 – ½ log104 is (a) 1/2 (b) 4 (c) 2 (d) none of these?.
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