Asked by Carl
                How do i solve 36^5x= (6^x)(6^x-2)
            
            
        Answers
                    Answered by
            Chloe
            
    You need to get a common base. In this question, your bases are 36, 6, 6. Use a base of 6 (and hence change 36 to 6).
36 = 6^2
36^5x = 6^2(5x)
= 6^10x
Your equation now is:
6^10x = 6^(x+x-2) INDEX LAWS
Since we have the same base, the powers must be equal:
10x = x+x-2
8x = -2
x = -1/4
    
36 = 6^2
36^5x = 6^2(5x)
= 6^10x
Your equation now is:
6^10x = 6^(x+x-2) INDEX LAWS
Since we have the same base, the powers must be equal:
10x = x+x-2
8x = -2
x = -1/4
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