Precalculus Examples

$(\log_{b} (9) \cdot 3.1699) (\log_{b} (5) \cdot 2.3219) (\log_{b} (225))$

Step 1

Move $3.1699$ to the left of $\log_{b} (9)$ .

$3.1699 \cdot \log_{b} (9) (\log_{b} (5) \cdot 2.3219) \log_{b} (225)$

Step 2

Simplify $3.1699 \log_{b} (9)$ by moving $3.1699$ inside the logarithm.

$\log_{b} (9^{3.1699}) (\log_{b} (5) \cdot 2.3219) \log_{b} (225)$

Step 3

Rewrite using the commutative property of multiplication.

$2.3219 \log_{b} (9^{3.1699}) \log_{b} (5) \log_{b} (225)$

Step 4

Raise $9$ to the power of $3.1699$ .

$2.3219 \log_{b} (1058.89605588) \log_{b} (5) \log_{b} (225)$

Step 5

Simplify $2.3219 \log_{b} (1058.89605588)$ by moving $2.3219$ inside the logarithm.

$\log_{b} ({1058.89605588}^{2.3219}) \log_{b} (5) \log_{b} (225)$

Step 6

Raise $1058.89605588$ to the power of $2.3219$ .

$\log_{b} (10553753.552924) \log_{b} (5) \log_{b} (225)$