Divide each term in <math><mstyle displaystyle="true"><mn>87</mn><msup><mrow><mi>e</mi></mrow><mrow><mn>0.3</mn><mi>x</mi></mrow></msup><mo>=</mo><mn>5918</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>87</mn></mstyle></math> .

Simplify the left side.

Cancel the common factor of <math><mstyle displaystyle="true"><mn>87</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><msup><mrow><mi>e</mi></mrow><mrow><mn>0.3</mn><mi>x</mi></mrow></msup></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

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

Expand <math><mstyle displaystyle="true"><mi>ln</mi><mrow><mo>(</mo><msup><mrow><mi>e</mi></mrow><mrow><mn>0.3</mn><mi>x</mi></mrow></msup><mo>)</mo></mrow></mstyle></math> by moving <math><mstyle displaystyle="true"><mn>0.3</mn><mi>x</mi></mstyle></math> outside the logarithm.

The natural logarithm of <math><mstyle displaystyle="true"><mi>e</mi></mstyle></math> is <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mn>0.3</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Divide each term in <math><mstyle displaystyle="true"><mn>0.3</mn><mi>x</mi><mo>=</mo><mi>ln</mi><mrow><mo>(</mo><mfrac><mrow><mn>5918</mn></mrow><mrow><mn>87</mn></mrow></mfrac><mo>)</mo></mrow></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.3</mn></mstyle></math> .

Simplify the left side.

Cancel the common factor of <math><mstyle displaystyle="true"><mn>0.3</mn></mstyle></math> .

Cancel the common factor.

Divide <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> by <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> .

Simplify the right side.

Divide <math><mstyle displaystyle="true"><mn>5918</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>87</mn></mstyle></math> .

Simplify the left side.

Divide <math><mstyle displaystyle="true"><mn>4.21984571</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>0.3</mn></mstyle></math> .

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