Trigonometry Examples

$30 + {(2.5)}^{x} = 10$

Step 1

Move all terms not containing $x$ to the right side of the equation.

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Step 1.1

Subtract $30$ from both sides of the equation.

${2.5}^{x} = 10 - 30$

Step 1.2

Subtract $30$ from $10$ .

${2.5}^{x} = - 20$

Step 2

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln ({2.5}^{x}) = \ln (- 20)$

Step 3

The equation cannot be solved because $\ln (- 20)$ is undefined.

Undefined

Step 4

There is no solution for ${2.5}^{x} = - 20$

No solution