Exponential equation practice problems with answers pdf

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Section 6-3 : Solving Exponential Equations
How do you solve exponential equations step by step?
How do you solve problems with exponential equations?
What is an example of an exponential function equation?

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Section 6-3 : Solving Exponential Equations

Solve each of the following equations.

\({6^{2x}} = {6^{1 - 3x}}\) Solution
\({5^{1 - x}} = 25\) Solution
\({8^{{x^{\,2}}}} = {8^{3x + 10}}\) Solution
\({7^{4 - x}} = {7^{4x}}\) Solution
\({2^{3x}} = 10\) Solution
\({7^{1 - x}} = {4^{3x + 1}}\) Solution
\(9 = {10^{4 + 6x}}\) Solution
\({{\bf{e}}^{7 + 2x}} - 3 = 0\) Solution
\({{\bf{e}}^{4 - 7x}} + 11 = 20\) Solution

How do you solve exponential equations step by step?

Solving Exponential Equations.

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..

How do you solve problems with exponential equations?

Solving Exponential Equations With Different Bases.

Convert the exponential equation into the logarithmic form using the formula bx = a ⇔ logba = x and solve for the variable..

Apply logarithm (log) on both sides of the equation and solve for the variable..

What is an example of an exponential function equation?

Exponential Functions Examples The examples of exponential functions are: f(x) = 2. f(x) = 1/ 2^x = 2. f(x) = 2.

exponential equation practice problems answers pdf