Expand <math><mstyle displaystyle="true"><mi>log</mi><mrow><mo>(</mo><msup><mrow><mo>(</mo><mi>a</mi><mo>⋅</mo><mi>b</mi><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mstyle></math> by moving <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> outside the logarithm.

Rewrite <math><mstyle displaystyle="true"><mi>log</mi><mrow><mo>(</mo><mi>a</mi><mo>⋅</mo><mi>b</mi><mo>)</mo></mrow></mstyle></math> as <math><mstyle displaystyle="true"><mi>log</mi><mrow><mo>(</mo><mi>a</mi><mo>)</mo></mrow><mo>+</mo><mi>log</mi><mrow><mo>(</mo><mi>b</mi><mo>)</mo></mrow></mstyle></math> .

Apply the distributive property.

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