Find the Real Root of 4^x + 6^x = 9^x

  • Time:2020-09-07 12:13:31
  • Class:Weblog
  • Read:22

Given a equation tex_920788608923e1a29dcc453bcaa190e7 Find the Real Root of 4^x + 6^x = 9^x math , let’s find the real value of x.

First, divide both sides by tex_3713d39bf3977004053c53c30e5c84e4 Find the Real Root of 4^x + 6^x = 9^x math which becomes:

tex_85d895cc0e7faade1d6b803a6d2d94f5 Find the Real Root of 4^x + 6^x = 9^x math
as tex_1ac70cc9e9bf75d0f3cdc56625c5d08d Find the Real Root of 4^x + 6^x = 9^x math , and tex_b3d6ca55e09f520d99de7976e24efaba Find the Real Root of 4^x + 6^x = 9^x math , it becomes:

tex_6acc2c885bd3873669b5aeada000a14a Find the Real Root of 4^x + 6^x = 9^x math

Let’s replace tex_ab7c8bd1f7fbb973aa58d541a7f65f78 Find the Real Root of 4^x + 6^x = 9^x math with tex_08d76dd2192e1355ed65b2f013af4415 Find the Real Root of 4^x + 6^x = 9^x math and further we have:

tex_d576ee8ed6e66bc97dfbdb0e3c923598 Find the Real Root of 4^x + 6^x = 9^x math that is tex_dcdf980b45bf9707b52e3d2ac74fb84f Find the Real Root of 4^x + 6^x = 9^x math

This equation has a golden root (the negative root should be discarded):

tex_84f336b54e94a3f6a1141784af0afa4f Find the Real Root of 4^x + 6^x = 9^x math

Therefore, tex_6a0d8158137223f60381ab35de616748 Find the Real Root of 4^x + 6^x = 9^x math
and tex_57c96216012ab243d3db15aa5ddff79c Find the Real Root of 4^x + 6^x = 9^x math
and tex_bb249fb49321758ad7d8db33e6550647 Find the Real Root of 4^x + 6^x = 9^x math
and we can compute the value x that is approximately 1.187.

–EOF (The Ultimate Computing & Technology Blog) —

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