Help solve an exponential equation without using logarithms and in detail: 2^ 5x-1 *3^ 3x-1 *5^ 2x-1 =720^x?



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Help solve an exponential equation without using logarithms and in detail: 2^ 5x-1 *3^ 3x-1 *5^ 2x-1 =720^x? and got a better answer

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2^ 5x-1 *3^ 3x-1 *5^ 2x-1=720^x 2^5x * 1/2 * 3^3x * 1/3 * 5^2x * 1/5= 8*9*10 ^x 1/30 * 2^5x * 3^3x * 5^2x= 2^4x * 3^2x * 5^x 1/30 * 2^x * 3^x * 5^x= 1 2*3*5 ^x= 30 x

 

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