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How can logarithms be used to solve exponential equations?

Sagot :

Answer:

Given an exponential equation in which a common base cannot be found, solve for the unknown. Apply the logarithm of both sides of the equation. If one of the terms in the equation has base 10, use the common logarithm. If none of the terms in the equation has base 10, use the natural logarithm.

Step-by-step explanation:

i personally dont know but  i found this hope it helps

An exponential equation can be solved by taking logarithm on both the sides of the equality.

What are exponential equations?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. To solve an equation with the variable in the exponent, take logarithms of both sides.

Explaining this using an example:

[tex]5^{2x} = 21\\ \\[/tex]

Taking log with base 5 on both sides.

[tex]log_{5} 5^{2x} = log_{5}21\\\\2x = log_{5}21\\\\x = \frac{1}{2} log_{5}21[/tex]

Hence solved.

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