Precalculus Examples

$3^{\log (3) \cdot 2.1}$

Step 1

Multiply $\log (3) \cdot 2.1$ .

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Step 1.1

Reorder $\log (3)$ and $2.1$ .

$3^{2.1 \cdot \log (3)}$

Step 1.2

Simplify $2.1 \cdot \log (3)$ by moving $2.1$ inside the logarithm.

$3^{\log (3^{2.1})}$

Step 2

Raise $3$ to the power of $2.1$ .

$3^{\log (10.04510856)}$

Step 3

Log base $10$ of $10.04510856$ is approximately $1.00195463$ .

$3^{1.00195463}$

Step 4

Raise $3$ to the power of $1.00195463$ .

$3.00644907$