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Mathematics 14 Online
OpenStudy (umulas):

a

OpenStudy (s4sensitiveandshy):

is it \[6^{2x}+6^x-56=0\]

satellite73 (satellite73):

call \(y=6^x\) and solve the resulting quartic equation

TheSmartOne (thesmartone):

u = 6^x then yes

satellite73 (satellite73):

or use \(u\) if you like it better than \(y\)

OpenStudy (s4sensitiveandshy):

no the power rule is \[y^x = x \ln y\] you should drop down the power

TheSmartOne (thesmartone):

6^x = 7 The next step is: \(\Large x~ln 6= ln7\)

OpenStudy (umulas):

right so 6^x = 6ln then, how is the 6 in the front if it is the x?

TheSmartOne (thesmartone):

It is 6 raised to the power of x \(\Large ln 6^x = x ln6\)

OpenStudy (umulas):

aaaaaaah ok

OpenStudy (s4sensitiveandshy):

no 6^x isn't equal to 6 ln x the exponent is x

TheSmartOne (thesmartone):

the log rule: \(\Large\bf log_b x^y = y\cdot log_b x\)

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