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Sagot :
Answer:
x = [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
We can start simplifying this equation by expanding the parenthesis and cross multiplying.
[tex](7^x)^4 = \frac{7^2 * 7^3}{7^{3x}} = \\\\\\7^{4x} = \frac{7^5}{7^{3x}}\\\\\\7^5 = 7^{7x}\\\\\\[/tex]
The exponent 5 and 7x are equal:
[tex]\longmapsto[/tex]Divide both sides by 7
[tex]5 = 7x\\\\x = \frac57[/tex]
-Chetan K
Answer:
- 5/7
Step-by-step explanation:
Use identities:
- [tex](a^b)^c = a^{bc}\\a^ba^c=a^{b+c}\\a^b/a^c=a^{b-c}\\a^b=a^c -->b = c[/tex]
Solve as below:
- (7ˣ)⁴ = 7² · 7³ / 7³ˣ
- 7⁴ˣ = 7⁵ / 7³ˣ
- 7⁴ˣ = 7⁵ ⁻ ³ˣ
- 4x = 5 - 3x
- 4x + 3x = 5
- 7x = 5
- x = 5/7
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