Solve for x?

Question

#0.6^(2x-1)=2#

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Answer 1 · 2017-07-23T23:22:02

#x=1/2(ln2/ln0.6+1)#

#0.6^(2x-1)=2#

#(2x-1)ln0.6=ln2#

#2x-1=ln2/ln0.6#

#x=1/2(ln2/ln0.6+1)#

Answer 2 · 2017-07-24T13:56:56

#x=-0.17845#

#0.6^(2x-1)=2#

#(2x-1)log0.6=log2#

#2x-1=log2/log0.6#

#x=1/2(log2/log0.6+1)#

#=1/2(0.30103/(-0.22185)+1)#

#=1/2(1-1.3569)#

#=-0.17845#