3 years ago

What is the exact value of the exponential equation, 5(10)4x=75 ?

Mathematics

1 answer:

sweet [91]3 years ago

3 0

Answer:

Step-by-step explanation:

using the law of logarithms

log $x^{n}$ ⇔ nlogx

given 5( $(10)^{4x}$ = 75 ( divide both sides by 5 )

$(10)^{4x}$ = 15 ( take log of both sides )

log $10^{4x}$ = log15

4xlog10 = log15 ← log10 = 1

4x = log15 ( divide both sides by 4 )

x = $\frac{log15}{4}$ → c

You might be interested in

36 POINTS! Write a problem where the negative square root is not an integer. then graph the square root(tell me what to graph si

Tcecarenko [31]

<span>" - √5 "....and 'square root ' is statement and difficult to graph....you need a function</span>

7 0

3 years ago

Write two linear expressions that have a sum of 3x-8

irakobra [83]

1. (5x + 2 )
2. ( -2x -10 )

5 0

3 years ago

Read 2 more answers

Solve 7e^(2x)-5>58. Round to the nearest hundredth.

7nadin3 [17]

Answer:

$x\gtrapprox1.1$

Step-by-step explanation:

$7e^{2x}-5>58$

$7e^{2x}>63$

$e^{2x}>9$

$2x>ln(9)$

$x>\frac{ln(9)}{2}$

$x\gtrapprox1.1$

5 0

2 years ago

Evaluate x+y when x=−45 and y=13. Write your answer as a fraction or mixed number in simplest form.

cricket20 [7]

the answer is -32

you add -45 and 13

6 0

3 years ago

I really need help for this geometry question, I would appreciate any help thank you.

Vsevolod [243]

You know that you have the Opposite side and the Adjacent side. therefore you would use Tangent (T= O/A)
because you are finding the angle you would go Tan^-1(12÷20) =31°
it is 12÷20 because O/A and the 12 is the opposite side therefore It would be O and 20 is the adjacent side therefore equaling 20 so O/A = 12/20
Your answer is 31°

8 0

2 years ago