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Luda [366]
4 years ago
7

PLEASE HELPPPP ! 16^x=64^x+4

Mathematics
1 answer:
Vladimir [108]4 years ago
4 0

Answer:

x = -12

Step-by-step explanation:

Set logs up on both sides-

log 16^x = log 64^x+4

The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-

x * log 16 = x + 4 * log 64

Divide both logs out-

log 64/log 16 = 1.5

Simplify-

x = x+4(1.5)

1.5x + 6 = x

Remove 1.5-

1 - 1.5 = -.5x

Simplify-

-.5x = 6

Divide both sides-

6/-.5x = -12

Hence, the answer would be -12

You might be interested in
The first term of an arithmetic sequence is 123 the common difference is 12 and the sum is 1113 how many terms are in the series
S_A_V [24]
You can use this formula of arthenatic series to find sum to get the number of term
sum= n÷2 (2a+(n - 1)d)
n= number of tern = n
a= first term =
d= common difference
sum= 1113
you can find the number of series by putting in them
5 0
3 years ago
One number is 44 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 5385
svlad2 [7]

I take it that the actual total is 538. If it really is 538538 leave me a note.

Let the first number = x

Let the second # = 44x

Let the third # = 100x

Equation

x + 44x + 100x = 538 Add the left side. All terms are part of the total.

145x = 538 Div By 145

x = 538/145

x = 3.71

Check

First number = 3.71

Second # = 44*3.71 = 163.24

Third number = 100*3.71 = 371

Total these 3 numbers 537.95 The very tiny difference is due to rounding.

5 0
3 years ago
A bicycle costs $240 and loses 35 of its value each year. What is the value of the bike after 3 years?
Svetlanka [38]

Answer:

135 In the 3rd year

Step-by-step explanation:

240-35= 205

205-35=170

170-35=135        (Or just use a calculator)

3 0
3 years ago
Please help i am confused
Kisachek [45]
I’m not sure about the second half but since it’s a triangle all of the angles add up to 180° so you can find the third angle by adding 61 and 90 then subtracting that from 180 to get the third angle
4 0
3 years ago
(c) Emma changed her statement to say that when you multiply two negative decimals and a positive decimal, the product will be p
Kryger [21]
The statement is always true.

Let's take -.12*-.5*.2

-.12*-.5*.2=.012

And:
-.2*-.4*.3=.024

A positive multiplied by a positive is, obviously, a positive.

The result of two negative numbers multiplying together is always positive.

So, negative*negative*positive is a positive answer.
4 0
4 years ago
Read 2 more answers
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