Given 3(log 5 - log 3) - (log 5 - 2log 6) = 2 - log n, find n.

Given, 3(log 5 - log 3) - (log 5 - 2log 6) = 2 - log n ⇒ 3log 5 - 3log 3 - log 5 + 2log 6 = 2 - log n ⇒ 2log 5 - log 3 3 + log 6 2 = 2 - log n ⇒ log 5 2 - log 27 + log 36 = 2 - log n ⇒ log 25 - log 27 + log 36 = 2log 10 - log n ⇒ log = log 10 2 - log n ⇒ log = log 100 - log n ⇒ log 100 - log 3 = log 100 - log n ⇒ log n = log 3 ⇒ n = 3. Hence, n = 3.

If x = log₁₀12, y = log₄2 × log₁₀9 and z = log₁₀0.4, find the values of
(i) x - y - z
(ii) 7^{x - y - z}

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If log V + log 3 = log π + log 4 + 3log r, find V in terms of other quantities.

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Given that log₁₀y + 2log₁₀x = 2, express y in terms of x.

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Express log₁₀2 + 1 in the form of log₁₀x.

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Mathematics

Given 3(log 5 - log 3) - (log 5 - 2log 6) = 2 - log n, find n.

Logarithms

Related Questions

If x = log₁₀12, y = log₄2 × log₁₀9 and z = log₁₀0.4, find the values of
(i) x - y - z
(ii) 7^{x - y - z}

If log V + log 3 = log π + log 4 + 3log r, find V in terms of other quantities.

Given that log₁₀y + 2log₁₀x = 2, express y in terms of x.

Express log₁₀2 + 1 in the form of log₁₀x.

Mathematics

Given 3(log 5 - log 3) - (log 5 - 2log 6) = 2 - log n, find n.

Logarithms

Related Questions

If x = log1012, y = log42 × log109 and z = log100.4, find the values of(i) x - y - z(ii) 7x - y - z

If log V + log 3 = log π + log 4 + 3log r, find V in terms of other quantities.

Given that log10y + 2log10x = 2, express y in terms of x.

Express log102 + 1 in the form of log10x.

If x = log₁₀12, y = log₄2 × log₁₀9 and z = log₁₀0.4, find the values of
(i) x - y - z
(ii) 7^{x - y - z}

Given that log₁₀y + 2log₁₀x = 2, express y in terms of x.

Express log₁₀2 + 1 in the form of log₁₀x.