Find the solution for the following equation: log4(x + 7) = 5? How do I solve this?

Mathematics

1 answer:

yanalaym [24]2 years ago

7 0

Answer:

x = 1017

Step-by-step explanation:

Rewrite the number 5 as a logarithm of base 4.

$\log_{4}\left(x+7\right)= log_{4} (1024)$

For two logarithms of the same base to be equal, their arguments must be equal. In other words, if $\log(a)=\log(b)$ then a must equal b.

$x + 7 =1024\\x = 1024 - 7\\x = 1017$

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-8 ( y + 4 ) = 10y + 4

maks197457 [2]

Let's solve your equation step-by-step.−8(y+4)=10y+4

Step 1: Simplify both sides of the equation.−8(y+4)=10y+4

Simplify: (−8)(y)+(−8)(4)=10y+4(Distribute)−8y+−32=10y+4−8y−32=10y+4

Step 2: Subtract 10y from both sides.−8y−32−10y=10y+4−10y−18y−32=4

Step 3: Add 32 to both sides.−18y−32+32=4+32−18y=36

Step 4: Divide both sides by -18.−18y−18=36−18y=−2

Answer:y=−2

Good luck mate :P

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