Trigonometry Examples

$f (x) = 3^{x}$ , $f (x) = 3^{x} + 2$

Step 1

Substitute $3^{x} + 2$ for $f (x)$ .

$3^{x} + 2 = 3^{x}$

Step 2

Solve for $x$ .

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Step 2.1

Move all terms containing $x$ to the left side of the equation.

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Step 2.1.1

Subtract $3^{x}$ from both sides of the equation.

$3^{x} + 2 - 3^{x} = 0$

Step 2.1.2

Combine the opposite terms in $3^{x} + 2 - 3^{x}$ .

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Step 2.1.2.1

Subtract $3^{x}$ from $3^{x}$ .

$0 + 2 = 0$

Step 2.1.2.2

Add $0$ and $2$ .

$2 = 0$

Step 2.2

Since $2 \neq 0$ , there are no solutions.

No solution