If log(10) 8 = 0.90; find the value of : (i) log(10) 4 (ii) log √32 (iii) log 0.125

Given, ⇒ log 10 8 = 0.90 ⇒ log 10 2 3 = 0.90 ⇒ 3log 10 2 = 0.90 ⇒ log 10 2 = ⇒ log 10 2 = 0.30 .........(1) (i) Given, ⇒ log 10 4 ⇒ log 10 2 2 ⇒ 2 log 10 2 Substituting value of log 10 2 from equation (1) in above equation, we get : ⇒ 2 × 0.30 ⇒ 0.60 Hence, log 10 4 = 0.60 (ii) Given, Substituting value of log 2 from equation (1), in above equation, we get : Hence, log = 0.75 (iii) Given, Hence, log 0.125 = -0.90

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If log y + 2 log x = 2, the value of y in terms of x is :
x² ÷ 100
100 ÷ x²
x ÷ 10
10 ÷ x

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If log 27 = 1.431, find the value of :
(i) log 9
(ii) log 300

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If log₁₀ a = b, find 10^{3b - 2} in terms of a.

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Mathematics

If log(10) 8 = 0.90; find the value of : (i) log(10) 4 (ii) log √32 (iii) log 0.125

Logarithms

Related Questions

If log y + 2 log x = 2, the value of y in terms of x is :
x² ÷ 100
100 ÷ x²
x ÷ 10
10 ÷ x

If log 27 = 1.431, find the value of :
(i) log 9
(ii) log 300

If log₁₀ a = b, find 10^{3b - 2} in terms of a.

Mathematics

If log(10) 8 = 0.90; find the value of : (i) log(10) 4 (ii) log √32 (iii) log 0.125

Logarithms

Related Questions

If log y + 2 log x = 2, the value of y in terms of x is :x2 ÷ 100100 ÷ x2x ÷ 1010 ÷ x

If log 27 = 1.431, find the value of :(i) log 9(ii) log 300

If log10 a = b, find 103b - 2 in terms of a.

If log y + 2 log x = 2, the value of y in terms of x is :
x² ÷ 100
100 ÷ x²
x ÷ 10
10 ÷ x

If log 27 = 1.431, find the value of :
(i) log 9
(ii) log 300

If log₁₀ a = b, find 10^{3b - 2} in terms of a.