5raised to( 2x+1)=6.5 rased to (x) -1
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Answer:
x = -2.585
Step-by-step explanation:
5raised to( 2x+1)=6.5 rased to (x) -1
5⁽²ˣ⁺¹⁾ = 6.5⁽ˣ⁻¹⁾
=> 5²ˣ * 5 = 6.5ˣ /6.5
=> 25ˣ * 5 * 6.5 = 6.5ˣ
=> (25/6.5)ˣ * 5 * 6.5 = 1
=> (25/6.5)ˣ = 1/5 * 6.5
=> (25/6.5)ˣ = 1/32.5
Taking log both sides
x log (25/6.5) = log(1/32.5)
=> x (0.585) = -1.512
=> x = -1.512/0.585
=> x = -2.585
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