All categories

2 years ago

What valur of x makes the equation below true? 9^5 * 9^7=9^x

Mathematics

1 answer:

klasskru [66]2 years ago

8 0

Answer:

x=12

Step-by-step explanation:

(9^5)(9^7)=9^x

282429536481=9^x

<em>Step 1: Flip the equation.</em>

9^x=282429536481

<em>Step 2: Solve Exponent.</em>

9^x=282429536481

log(9^x)=log(282429536481)(Take log of both sides)

x*(log(9))=log(282429536481)

x=log(282429536481)/log(9)

x=12

You might be interested in

Simplify as far as possible without a calculator.√2(4√7+3√2)

kvv77 [185]

$\sqrt{2} (4 \sqrt{7} + 3\sqrt{2} )$

$\sqrt{2} (4 \sqrt{7} ) + \sqrt{2} (3 \sqrt{2} )$

$4 \sqrt{14} + 3(2)$

$4 \sqrt{14} + 6$

7 0

2 years ago

Jeff subscribed to cable for 75.00 a month and 140.00 installation andrew has another cable co. For 20.00 installation and 90.00

lilavasa [31]

8 months; $740

75x+140=90x+20
Find x then plug it in to find the cost

7 0

3 years ago

From the earth, the moon subtends an angle of approximately 0.5°. If the distance to the moon is approximately 240,000 miles, fi

konstantin123 [22]

Answer:

2100 miles.

Step-by-step explanation:

Given:

Diameter to the moon = 240000 miles

∅ = 0.5 °

The subtended angle by an arc is given as:

S = r∅

Where

r = radius of the circle

Therefore,

D = 240,000 x (0.5 x π rads)/180

= 2094 miles

= 2100 miles.

6 0

3 years ago

A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the

vodomira [7]

Answer:

Step-by-step explanation:

40x5=200

200 divided by 5 =40

5 0

2 years ago

If 2a/4=b/4 and b≠0, what does 5b equal in terms of a?

dedylja [7]

Step-by-step explanation:

you must have made a typo here.

none of the answer options are correct for the given problem.

let me just show you what you told me, and how I can solve at least this :

2a/4 = b/4

this simply means (multiply both sides by 4) :

2a = b

so, 5b is then (multiplying both sides by 5) :

5×2a = 5b

10a = 5b

but again, "10a" is not among the offered answers.

so, I don't know if you made a mistake with the basic problem or with the answer options.

8 0

2 years ago