Suppose that 3^a = 2 and 3^b = 5. If 3^x = 150,then write an expression for x in terms of a and b
By the law of exponents, if 3a=2, and 3b=5, then 3a+2b=2⋅5⋅5=50. Now we know that 50⋅3=150, so 3a+2b+1=150, so in terms of a and b, x=a+2b+1
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