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Tcecarenko [31]

3 years ago

11

Which logarithmic equation is equivalent to 8^2 =64

2 answers:

Natali5045456 [20]3 years ago

6 0

Answer:

$\log_8(64) = 2$

Step-by-step explanation:

We are given an equation:

$8^2 = 64$

We have to convert this into a logarithmic equation.

We know that:

$b^x = a$

where b is the base and x is the exponent.

Then, it can be written as:

$\log_b(a) = x$

So, we have b = 8, x = 2 and a = 64

Thus, we can write:

$\bold{\log_8(64) = 2}$

It is the required logarithmic equation.

Marina CMI [18]3 years ago

4 0

㏑(8^2) = ㏑(64)
or
㏑(a^n) = n㏑(a)
so
2㏑(8) = ㏑(64)

Is it what you mean by logarithmic equation ?

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-<br> I<br> dot<br> Multi-step aquations

BlackZzzverrR [31]

1) $a= -1$ , 2) $n=-2$

3) $x=4$ , 4) $n=0$

5) $r=1$ , 6) $r=2$

7) $No\,\,solution$ , 8) $p=-12$

9) $m=2$ , 10) $a=-3$

11) $x=4$ 12) $n=-2$

Step-by-step explanation:

We need to solve each equation.

1) $6a+5a = -11$

Solving:

Adding like terms:

$11a = -11$

Divide both sides by 11

$a= -1$

2) $-6n-2n=16$

Solving:

Adding like terms:

$-8n=16$

Divide by -8

$n=-2$

3) $4x+6+3=17$

Solving:

Adding like terms:

$4x+9=17$

Subtract 9 on both sides:

$4x=17-9$

$4x=8$

Divide both sides by 4

$x=4$

4) $0=-5n-2n$

Solving:

$0=-7n$

Divide both side by -7

$n=0$

5) $6r-1+6r=11$

Solving:

12r-1=11

Adding 1 on both sides

$12r=12$

Divide both sides by 12

$r=1$

6) $r+11+8r=29$

Solving:

$9r+11=29\\9r=29-11\\9r=18\\r=2$

7) $-10=-14v+14v$

Solving

$-10=-14v+14v\\-10\neq 0\\No\,\,solution$

8) $-10p+9p=12$

Solving:

$-10p+9p=12\\-p=12\\p=-12$

9) $42=8m+13m$

Solving:

$42=8m+13m\\42=21m\\m=42/21\\m=2$

10) $a-2+3=-2$

Solving:

$a-2+3=-2\\a+1=-2\\a=-2-1\\a=-3$

11) $18=3(3x-6)$

Solving:

$18=3(3x-6)\\18=9x-18\\18+18=9x\\36=9x\\x=36/9\\x=4$

12) $30=-5(6n+6)$

Solving:

$30=-5(6n+6)\\30=-30n-30\\30+30=-30n\\60=-30n\\n=60/-30\\n=-2$

Keywords: Solving Polynomials

Learn more about solving Polynomials at:

#learnwithBrainly

8 0

3 years ago

If x=y-7 what is the value of 3x-3 in terms of y

beks73 [17]

$\bf \boxed{x}=y-7
\\\\\\
3x-3\implies 3\left( \boxed{y-7} \right)-3\implies 3y-21-3\implies 3y-24$

7 0

3 years ago

You went to the farmer's market and bought berries for $4.50, corn for $2.50, and flower's for $ 7.50. Sales tax is 5%. What was

saw5 [17]

Add all of them and divide by 5 :)

7 0

3 years ago

Read 2 more answers

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all

Sergio039 [100]

Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive

We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]

We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)

From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735

Hope this helps!!

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3 years ago

HELPPPPP<br> Find the sum of the series 18 +12 +8+16/3...

netineya [11]

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Step-by-step explanation:

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3 years ago