Solve 64^x = 16^x−1.

2 answers:

7 0

64^x=16^x-1====> Make the bases the same
4^3(x)=4^2(x-1)=> Solve for x by bringing down the exponent without the base.
3(x)=2(x-1)=====> Distribute
3x=2x-2======> Now solve for x
3x = 2x-2
-2x -2x
x=-2
Therefore x is negative two

tresset_1 [31]3 years ago

6 0

Answer:

x = -2

Step-by-step explanation:

You might be interested in

You can helps me? <br>f(x) = x + 20 <br>g(x) = x + 5 <br>(f o g) (2) = ?

pav-90 [236]

<h2>♪Answer : </h2>

f(x) = x + 20
g(x) = x + 5

»(f o g)(2)

find (f o g)(x)

»f(g(x))

»f(x + 5)

»x + 5 + 20

»x + 25

so, (f o g)(2) is

»2 + 25

»27✅

3 0

2 years ago

Read 2 more answers

Tanya is training a turtle for a turtle race. For every of an hour that the turtle is crawling, he can travel of a mile. At what

lilavasa [31]

The turtle is crawling at a rate of 1 mile per hour or 1 mph.

7 0

4 years ago

Read 2 more answers

A small regional carrier accepted 21 reservations for a particular flight with 19 seats. 10 reservations went to regular custome

Viefleur [7K]

We have 19 available seats, and 21 reservations.

Of the 21 reservations, 10 are sure, so we have 10 out of the 19 seats that are surely occupied.

Then, we have 9 seats for 11 reservations, each one with 44% chance of being occupied.

We have to calculate the probability that the plane is overbooked. This means that more than 9 of the reservations arrive.

This can be modelled as a binomial distirbution with n = 11 and p = 0.44, representing the 44% chance.

Then, we have to calculate P(x > 9).

This can be calculated as:

$P(x>9)=P(x=10)+P(x=11)$

and each of the terms can be calculated as:

$\begin{gathered} P(x=10)=\dbinom{11}{10}\cdot0.44^{10}\cdot0.56^1=11\cdot0.0003\cdot0.56=0.0017 \\ P(x=11)=\dbinom{11}{11}\cdot0.44^{11}\cdot0.56^0=1\cdot0.0001\cdot1=0.0001 \end{gathered}$

Then: