Solve for x 11x 9 610x Write the exact answer using base10

Solve for x. 11^x + 9 = 6^10x Write the exact answer using base-10 logarithms.

Given 11^x+9 =6^10x

Apply \'log \' on bothsides,

log11^x+9 =log6^10x

(x+9)log11 = 10xlog6 (loga^x = xloga)

(x+9)/x=10log6/log11

(x/x)+(9/x) = 10log6/log11

1+(9/x) = 7.4722

(9/x) = 7.4722-1

(9/x) = 6.4722

9/6.4722 = x

x=1.3905

Therefore, X=1.3905

$Solve for x. 11^x + 9 = 6^10x Write the exact answer using base-10 logarithms. SolutionGiven 11x+9 =610x Apply \'log \' on bothsides, log11x+9 =log610x (x+9)lo$

Solve for x 11x 9 610x Write the exact answer using base10

Solution

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