what is exponential equation

Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by . To solve exponential equations with same base, use the property of equality of exponential functions . If b is a positive number other than 1 , then bx=by if and only if x=y .

What is exponential equation example?

What are Exponential Equations? An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x – 3 = 625, 62y – 7 = 121, etc are some examples of exponential equations.

How do you know if an equation is exponential?

Recall that the one-to-one property of exponential functions tells us that, for any real numbers b, S, and T, where b>0, b≠1 b > 0 , b ≠ 1 , bS=bT b S = b T if and only if S = T. In other words, when an exponential equation has the same base on each side, the exponents must be equal.

What are exponential equations used for?

Exponential equations are indispensable in science since they can be used to determine growth rate, decay rate, time passed, or the amount of something at a given time.

How do you solve an exponential equation step by step?

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Step 1: Express both sides in terms of the same base.Step 2: Equate the exponents.Step 3: Solve the resulting equation.Solve. Step 1: Isolate the exponential and then apply the logarithm to both sides.Step 2: Apply the power rule for logarithms and write the exponent as a factor of the base.