Math, asked by Roy7910, 1 year ago

log a base b ×log b base a =1


Roy7910: dear trick hai per kaise hai

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Answered by Anonymous
10
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Answered by tripathiakshita48
0

The equation is true for all values of b and a, as long as they are both positive and not equal to 1.

There are four following math logarithm formulas: ● Product Rule Law:

loga (MN) = loga M + loga N. ● Quotient Rule Law:

loga (M/N) = loga M - loga N. ● Power Rule Law:

IogaMn = n Ioga M. ● Change of base Rule Law:To solve the equation log_b(log_a(b)) = 1, we can use the definition of logarithms and some basic algebraic manipulations:

log_b(log_a(b)) = 1

This equation can be rewritten using the change-of-base formula:

log_a(b) / log_a(b) = 1

Simplifying the left-hand side, we get: 1 = 1

Therefore, the equation is true for all values of b and a, as long as they are both positive and not equal to 1.

For such more questions on logarithms,

https://brainly.in/question/4822884

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