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4^2x=5^x+2?
Nitha Mulungu
Feb 29
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#equations
#algebra
#exponents
4^2x=5^x+2?
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Feb 29
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To solve this equation, we can rewrite it as:
16^x = 5^x+2
Now, we can rewrite 16 as 4^2:
(4^2)^x = 5^x+2
Using the property of exponents that (a^b)^c = a^(b*c), we can simplify the left side of the equation:
4^(2x) = 5^x+2
Now, we can rewrite 5^x+2 as 5^x * 5^2:
4^(2x) = 5^x * 5^2
4^(2x) = 5^x * 25
Now, we can rewrite 4 as 2^2:
(2^2)^(2x) = 5^x * 25
Using the property of exponents that (a^b)^c = a^(b*c), we can simplify the left side of the equation:
2^(4x) = 5^x * 25
Now, we can rewrite 25 as 5^2:
2^(4x) = 5^x * 5^2
2^(4x) = 5^(x+2)
Therefore, the solution to the equation 4^2x = 5^x+2 is x = 2.
0
Efison Zawden
Feb 29
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3^4-4^3
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Efison Zawden
Feb 29
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34-(3^4(=
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Efison Zawden
Mar 1
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34-3^2
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