Precalculus Examples

$\log_{32} (4^{1.5}) + 10^{2 \log (2)}$

Step 1

Simplify each term.

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Step 1.1

Raise $4$ to the power of $1.5$ .

$\log_{32} (8) + 10^{2 \log (2)}$

Step 1.2

Log base $32$ of $8$ is approximately $0.6$ .

$0.6 + 10^{2 \log (2)}$

Step 1.3

Simplify $2 \log (2)$ by moving $2$ inside the logarithm.

$0.6 + 10^{\log (2^{2})}$

Step 1.4

Exponentiation and log are inverse functions.

$0.6 + 2^{2}$

Step 1.5

Raise $2$ to the power of $2$ .

$0.6 + 4$

Step 2

Add $0.6$ and $4$ .

$4.6$