Can somebody help me solve 8^4v + 5 = 31 ?

1 answer:

3 0

$8^{4v}+5=31$
minus 5 both sides
$8^{4v}=26$
take the log₈ of both sides
4v=log₈26
divide both sides by 4
v=(1/4)log₈28

if yo use calculator
go back
$8^{4v}=26$
take ln of both sides
4vln8=ln26
divide both sides by (4ln8)
v=(ln28)/(4ln8)
evaluate
v≈0.40061291017147

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3. A restaurant bill of $350 was paid using $5 notes and $50 notes. The total number of

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The number of $5 notes is 10 and $50 notes is 6

Step-by-step explanation:

Let x be the number of $5 notes

and

y be the number of $50 notes

Then according to given statements

"The total number of notes used was 16."

x+y=16 Eqn 1

"A restaurant bill of $350 was paid using $5 notes and $50 notes."

5x+50y=350 Eqn 2

$From\ Eqn\ 1\\x+y=16\\y=16-x\\Putting\ y=16-x\ in\ equation\ 2\\5x+50(16-x)=350\\5x+800-50x=350\\-45x+800=350\\Subtracting\ 800\ from\ both\ sides\\-45x+800-800=350-800\\-45x=-450\\Dividing\ both\ sides\ by\ -45\\\frac{-45x}{-45}=\frac{-450}{45}\\x=10$