Question

5raised to( 2x+1)=6.5 rased to (x) -1

Answer 1

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