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sympy is able to solve this:

sage: eq = 4.94 * 1.062^x - 15
sage: import sympy
sage: sympy.solve(eq._sympy_())
[18.4640471949033]

sympy is able to solve this:

sage: eq = 4.94 * 1.062^x - 15
sage: import sympy
sage: sympy.solve(eq._sympy_())
[18.4640471949033]

This kind of workaroud seems pretty frequent, perhaps should Sage rely more on sympy when possible.