If log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, then the value of log₁₀ 72 = 1. 1.8572 2. 0.8572 3. 0.5872 4. 1.5872

Given, ⇒ log10 72 ⇒ log10 (9 × 8) ⇒ log10 9 + log10 8 ⇒ log10 32 + log10 2 3 ⇒ 2log10 3 + 3log10 2 ⇒ 2(0.4771) + 3(0.3010) ⇒ 0.9542 + 0.9030 ⇒ 1.8572 Hence, option 1 is the correct option.

Mathematics

If log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, then the value of log₁₀ 72 =
1.8572
0.8572
0.5872
1.5872

Logarithms

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Answer

Given,

⇒ log₁₀ 72

⇒ log₁₀ (9 × 8)

⇒ log₁₀ 9 + log₁₀ 8

⇒ log₁₀ 3² + log₁₀ 2 ³

⇒ 2log₁₀ 3 + 3log₁₀ 2

⇒ 2(0.4771) + 3(0.3010)

⇒ 0.9542 + 0.9030

⇒ 1.8572

Hence, option 1 is the correct option.

Answered By

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Mathematics

If log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, then the value of log₁₀ 72 =
1.8572
0.8572
0.5872
1.5872

Logarithms

Answer

Related Questions

If log₁₀ 2 = 0.3, then log₁₀ 8 =
0.9
0.6
1.2
none of these

Assertion (A): log (2 + 3 + 4) = log 2 + log 3 + log 4
Reason (R): log _x x = 0
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false

Mathematics

If log10 2 = 0.3010 and log10 3 = 0.4771, then the value of log10 72 =1.85720.85720.58721.5872

Logarithms

Answer

Related Questions

If log10 2 = 0.3, then log10 8 =0.90.61.2none of these

Assertion (A): log (2 + 3 + 4) = log 2 + log 3 + log 4Reason (R): log x x = 0A is true, R is falseA is false, R is trueBoth A and R are trueBoth A and R are false

If log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771, then the value of log₁₀ 72 =
1.8572
0.8572
0.5872
1.5872

If log₁₀ 2 = 0.3, then log₁₀ 8 =
0.9
0.6
1.2
none of these

Assertion (A): log (2 + 3 + 4) = log 2 + log 3 + log 4
Reason (R): log _x x = 0
A is true, R is false
A is false, R is true
Both A and R are true
Both A and R are false