Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
No it doesn't be i thought that it you would have to find a domain but i couldn't
Answer:
x=√y+4 or x=−√y+4
Step-by-step explanation:
Step 1: Add 4 to both sides.
x2−4+4=y+4
x2=y+4
Step 2: Take square root.
x=√y+4 or x=−√y+4
Answer:
1/2 cup
Step-by-step explanation:
Two 1/8 cups = 1/4 cup Half of 1/2 cup = 1/4 cup.
Answer:
-x² - 9 is your simplified form
Step-by-step explanation:
Combine terms with the same amount of variables.
(2x² - 5) - (3x² + 4)
First, distribute the negative sign to all terms within the second parenthesis
(2x² - 5) - 3x² - 4
Combine like terms
2x² - 3x² = -x²
-5 - 4 = -9
-x² - 9 is your simplified form
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