Trigonometry Examples

3 log (4) + log (7)

$3 \log (4) + \log (7)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Simplify

3 log (4)

$3 \log (4)$ by moving

3

$3$ inside the logarithm.

log (4^{3}) + log (7)

$\log (4^{3}) + \log (7)$

Step 1.2

Raise

4

$4$ to the power of

3

$3$ .

log (64) + log (7)

$\log (64) + \log (7)$

log (64) + log (7)

$\log (64) + \log (7)$

Step 2

Use the product property of logarithms,

{log}_{b} (x) + {log}_{b} (y) = {log}_{b} (x y)

$\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

log (64 \cdot 7)

$\log (64 \cdot 7)$

Step 3

Multiply

64

$64$ by

7

$7$ .

log (448)

$\log (448)$

Step 4

The result can be shown in multiple forms.

Exact Form:

log (448)

$\log (448)$

Decimal Form:

2.65127801 \dots

$2.65127801 \dots$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$