$\bf 12^{2x-8}=15\\\\
-----------------------------\\\\
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\impliedby thus\\\\
-----------------------------\\\\
log\left( 12^{2x-8} \right)=log(15)\implies (2x-8)log(12)=log(15)
\\\\\\
2x-8=\cfrac{log(15)}{log(12)}\implies 2x=\cfrac{log(15)}{log(12)}+8\implies 
x=\cfrac{\frac{log(15)}{log(12)}+8}{2}$

7 0

3 years ago

Can someone help me with this and show their work and how they found the answer?

Semenov [28]

Answer:

2kg

Step-by-step explanation:

Let the sum of the other 2 bricks be R. Given that the heaviest brick weighs 2/3 times as much as the other 2 bricks in total, then the weight of the heaviest brick H in terms of the weight of the other 2 will be

H = 2/3 * R

= 2R/3

Given that the 3 bricks weigh 5kg in total then,

2R/3 + R = 5

Multiply through the equation by 3

2R + 3R = 15

5R = 15

Divide both sides by 5

R = 15/5

= 3

The weight of the heaviest brick is 2R/3. Since R = 3, the heaviest block weighs

= 2 * 3/3

= 2kg

4 0

3 years ago

Belinda bought a car one year ago.

lesya692 [45]

Answer:

$16,500

Step-by-step explanation:

The computation of the amount that should be paid for the car is shown below:

Since the car would be purchased one year ago

And, the value of the car would be decreased by 15% to $14025

So the amount that should be paid is

= $14025 × 100 ÷ (100 - 0.15)

= $16,500

8 0

3 years ago

Write three numbers that round to 60,000 when rounded to the nearest ten thousand​

Write three numbers that round to 60,000 when rounded to the nearest ten thousand