Question 977973
{{{ 9*log( 9, 7 ) }}}
{{{ log( 9, 7^9 ) }}}
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I can rewrite this as:
{{{ 9^x = 7^9 }}}
I can take the log base 10 of both sides
{{{ x*log( 10, 9 ) = 9*log( 10,7 ) }}}
{{{ x = 9*log( 10,7 ) / log( 10,9 ) }}}
{{{ x = ( 9*.8451 ) / .9542 }}}
{{{ x = 7.6059 / .95423 }}}
{{{ x = 7.9707 }}}
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check:
{{{ 9^7.9707 = 7^9 }}}
{{{ 40362752.05 = 40353607 }}}
The error is due to rounding off, I think
They may want an "exact" answer and not a
calculated answer. That would be in terms of 
roots and powers. Hope this is OK.