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3 years ago

Find the value of k when 5^-3 + 5^-4 = 5^k x 5^-4

Mathematics

2 answers:

lubasha [3.4K]3 years ago

8 0

Answer:

Given , 1/2 is a solution of the equation

or, 1/4 - 5/4 = -k/2

or, -k/2 = -1

or k = 2

Step-by-step explanation:

GalinKa [24]3 years ago

4 0

Answer:

k= 6/5 or 1.12

Step-by-step explanation:

You isolate the variable by dividing each side by factors that don't contain the variable. This variable (K) is not a whole number so I gave you the fraction and rounded decimal form. Hope this helps :)

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The volume of a cube is 343 cubic inches. What is the length of each edge of the cube?

weeeeeb [17]

Answer:7 inches

Step-by-step explanation:

Volume of cube=343

volume of cube=length x length x length

length =L

Volume of cube=LxLxL

343=L^3

L^3=343

Taking the cube root of both sides we get

L=cube root of 343

L=7

Length =7 inches

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3 years ago

Select the correct answer.<br> Which of these graphs represents a function?

Ber [7]

Answer:

the top right

Step-by-step explanation:

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3 years ago

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I have to show work of how i get the values of x, y and z <br>x= -3<br>y=4<br>z=5

Olegator [25]

Answer:

use symbolab, it helps explain your math problems step by step.

Step-by-step explanation:

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3 years ago

Explain how to solve 4^x+3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution fo

Masja [62]

The value of x is 1

Explanation:

The equation is $4^x+3=7$

Subtracting both sides by 3, we get,

$4^x=4$

Taking log on both sides, we get,

$\log 4^{x}=\log 4$

Rewriting the equation by $4^{x}=u$

Thus, we have,

$\log u=\log 4$

Applying log rule, if $\log f(x)=\log g(x)$ , then $f(x)=g(x)$

Thus, $u=4$

Substituting $u=4$ in $4^{x}=u$ , we get,

$4^x=4$

Also, since, $a^{f(x)}=a^{g(x)}$ , then $f(x)=g(x)$

Thus, $x=1$

Hence, the value of x is 1

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3 years ago

What is the answer to 11x+4+51+2x+8=180

Digiron [165]

Hi,

Work:

Equation;

$11x + 4 + 51 + 2x + 8 = 180$

Collect like terms and calculate sum of positive numbers.

$13x + 63 = 180$

Move constant +63 to the right side and change its sign.

$13x = 180 - 63$

Subtract numbers.

$13x = 117$

Divide both sides of equation with 13.

$x = 9$

Hope this helps.
r3t40

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4 years ago

Read 2 more answers