SOLUTION: 1. Solve the following exponential equations a) 3^(2x-1) = 2^(x+2) b) 2^(x+1) = 5^(1-x) c) 2^(x+1)/ 5^x = 3 Can you please help me out? Thanks so much in advance:) Can you p

Question 744709: 1. Solve the following exponential equations
a) 3^(2x-1) = 2^(x+2)
b) 2^(x+1) = 5^(1-x)
c) 2^(x+1)/ 5^x = 3
Can you please help me out? Thanks so much in advance:)
Can you please show all the steps it would really help me understand:)

Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
a)

Expanding exponents...

simplifying...

Next we isolate x...

Key step: we can combine the bases under the exponent since the exponent for both of them is the same...

which can be rewritten as...

Less steps for the remaining parts...
b)

after taking log of both sides and cancelling (i.e. if the bases are equal the the exponents are also equal to each other)

x=-1

Now with maximum efficiency we solve the last...
c)

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