Question 1144754
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The equation has two terms on the left with different exponents involving the variable; the expression on the right has the variable in an exponent.  Such equations can't be solved algebraically; numerical methods are needed.<br>
Use a graphing calculator to find the answer.<br>
The expressions on the two sides of the equation have values that are very nearly equal across a large part of the domain, so graphing the two expressions to find their intersection doesn't work well.  Instead, graph the expression<br>
4^(x+1.5) + 9^(x+0.5) - 10×6^x<br>
and find where the value is 0.