jmc

Question

Suppose that 4^x_1=5, 5^x_2=6, 6^x_3=7, , 127^x_124=128. What is x_1x_2 x_124?

Accepted Answer

Since 4^x_1=5, 5^x_2=6,, 127^x_124 = 128, we have 4^7/2= 128 = 127^x_124 = (126^x_123)^x_124 = 126^x_123 x_124 = = 4^x_1x_2 x_124. So x_1 x_2 x_124 = 72.