Question

equaçoes exponencias:
a) 5ˣ⁺³ = 1
b)2ˣ²⁻9 = 1
c)7³ˣ⁺⁷ = 7
d)3ˣ²⁻³ = 3

Answer 1

$5 ^{x+3}=1$
$5 ^{x+3}=5^0$ ---bases iguais ,iguala os expoentes
 x+3 = 0 ---> x = -3
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$2 ^{x^2-9}=1$

$2 ^{x^2-9}=2^0$ bases iguais

x²-9 =0 --> x²=9--> x=±√9 --> x= ±3
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$7^{3x+7}=7$

$7^{3x+7}=7^1$ --- bases iguais

3x+7=1--> 3x = -6 --> x = -2
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$3^{x^2-3}=3$

$3^{x^2-3}=3^1$ ---- bases iguais

x²-3=1--> x² = 4 --> x = ±√4 --> x= ± 2