3 years ago

2log(base 5)^(x-3)-log(base 5)^8= log(base 5)^2

Mathematics

1 answer:

Alja [10]3 years ago

7 0

Answer:

x = 7

Step-by-step explanation:

$2log_5(x-3)-log_58= log_52\\\\2log_5(x-3) =log_52+log_58\\\\2log_5(x-3) =log_5(2\times 8) \\\\2log_5(x-3) =log_516\\\\2log_5(x-3) =log_54^2 \\\\2log_5(x-3) =2 log_54 \\\\log_5(x-3) =log_54 \\\\x - 3 = 4\\\\x = 4+3\\\\\huge \orange { \boxed{x = 7}}$

You might be interested in

Mateo makes 6 loaves of banana bread he sells 2/3 of the loaves

Zinaida [17]

He sold 4 loaves of bread

4 0

3 years ago

Vector v has a direction of (5,3) find the direction angle for v to the nearest degree

Vesnalui [34]

Answer:

$31^{\circ}$

Step-by-step explanation:

We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.

We know that direction of vector with components $(a,b)$ can be determined by $\theta=\text{tan}^{-1}(\frac{b}{a})$ .

Upon substituting the components of given vector in above formula, we will get:

$\theta=\text{tan}^{-1}(\frac{3}{5})$

$\theta=30.9637565^{\circ}$

Upon rounding to nearest degree, we will get:

$\theta\approx 31^{\circ}$

Therefore, the direction angle for vector v is 31 degrees.

3 0

3 years ago

Which is equivalent to 216 1/3? A.3 B.6 C.36 D.72

nydimaria [60]

The 1/3 power is another way to write the cube root.
∛216 = 6

3 0

4 years ago

How many stamps that are 1.5 inches long and 1.5 inches wide will fit on a piece of paper that is 9 inches wide and one foot lon

Soloha48 [4]

Divide the paper which is 21 inches (12+9) by 1.5 and you have your answer which is 14

4 0

3 years ago

What are the coordinates of the image of her text D after reflection across the X axis

pshichka [43]

To reflect over the x axis you just multiply the y value by -1 . So your answer is (5,3)

6 0

4 years ago