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3 years ago

81^5=3^x What does “x” equal?

Mathematics

1 answer:

Lynna [10]3 years ago

7 0

Answer:

$x =2 0$

Step-by-step explanation:

${81}^{5} = {3}^{x}$

We know that 3^4 = 81. So :

$= > { ({3}^{4}) }^{5} = {3}^{x}$

$= > {3}^{4 \times 5} = {3}^{x}$

$= > {3}^{20} = {3}^{x}$

Here both the Right hand side & Left hand side has same base i.e. have 3 as base in both the sides.

So , eliminating the base gives :-

$x = 20$

You might be interested in

Solve each proportion. 2/4=4/p-3 pls help

eduard

Answer:

$p=\frac{8}{7}$

Step-by-step explanation:

$\frac{2}{4} = \frac{4}{p} - 3$

$\frac{1}{2} = \frac{4}{p} - 3$ (simplify)

$\frac{1}{2}+3 = \frac{4}{p} - 3+3$

$\frac{1}{2}+3 = \frac{4}{p}$ (Add 3 to both sides)

$\frac{7}{2}= \frac{4}{p}$ (simplify)

$\frac{7}{2}p= \frac{4}{p}*p$

$\frac{7p}{2}=4$ (Multiply both sides by p)

$\frac{7p}{2}*2=4*2$

$7p=8$ (Multiply both sides by 2)

$\frac{7p}{7}=\frac{8}{7}$

$p=\frac{8}{7}$ (Divide both sides by 7)

7 0

2 years ago

A family member had some five-dollar bills and one-dollar bills in her wallet. Altogether she has 18 bills and s total of $62. W

Elden [556K]

X+y=18
5x+y=62

x is number of five dollar bills and y is one dollar bills.

3 0

2 years ago

Bianca and yoko work together to mow the lawn. suppose yoko mow 5/15 of the lawn and bianca m ows 2/5 of the lawn. how much lawn

xz_007 [3.2K]

They mowed total of 11/15 (5/15 + 2/5) already, so they still have 4/15.

8 0

2 years ago

The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of

tatuchka [14]

Answer:

The probability that the cost is kept within budget or the campaign will increase sales is 0.88

Step-by-step explanation:

The probability that the cost is kept within budget (event A) or the campaign will increase sales (event B) is the union of the probability of those two events. By basic properties of probability, this is:

P(A ∪ B) = P(A) + P (B) - P(A ∩ B)

and for independent events:

P(A ∩ B) = P(A) * P(B)

So:

P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88

5 0

2 years ago

Mike is working on solving the exponential equation 37^x = 12; however, he is not quite sure where to start.

Rainbow [258]

The solution of the given exponential equation is 0.688.

Given that Mike is working on solving the exponential equation 37ˣ = 12.

An exponential equation is an exponential equation where the power (or) part of the exponent is a variable.

firstly, we have to slve this equation is by converting it to logarithmic form. Any exponential equation can be transformed into an equivalent logarithmic equation as follows:

aˣ = y

logₐy = x

Now, we will apply this transformation to our equation and we get

log₃₇12=x

Further, we will apply the change of base formula so that solution is written in terms of base 10 logs:

x=log12/log37

So, this is an exact answer to given equation, but we can simplify it further by using decimal approximation of it using a calculator. Remember that these logs are base 10:

x≈1.079/1.568

x=0.688

Hence, the solution of the given exponential equation 37ˣ=12 is 0.688.

Learn more about exponential equation from here brainly.com/question/24162621

#SPJ4

4 0

1 year ago